Doran, Charles F.; Kostiuk, Jordan; You, Fenglong The Doran-Harder-Thompson conjecture for toric complete intersections. (English) Zbl 1518.14056 Adv. Math. 415, Article ID 108893, 47 p. (2023). MSC: 14J33 14D06 14J32 14N35 PDFBibTeX XMLCite \textit{C. F. Doran} et al., Adv. Math. 415, Article ID 108893, 47 p. (2023; Zbl 1518.14056) Full Text: DOI arXiv
Doran, Charles; Harder, Andrew; Katzarkov, Ludmil; Ovcharenko, Mikhail; Przyjalkowski, Victor Modularity of Landau-Ginzburg models. arXiv:2307.15607 Preprint, arXiv:2307.15607 [math.AG] (2023). MSC: 14J45 14J32 BibTeX Cite \textit{C. Doran} et al., ``Modularity of Landau-Ginzburg models'', Preprint, arXiv:2307.15607 [math.AG] (2023) Full Text: arXiv OA License
Doran, Charles F.; Harder, Andrew; Novoseltsev, Andrey Y.; Thompson, Alan Calabi-Yau threefolds fibred by high rank lattice polarized \(K3\) surfaces. (English) Zbl 1436.14074 Math. Z. 294, No. 1-2, 783-815 (2020). Reviewer: Noriko Yui (Kingston) MSC: 14J32 14J28 PDFBibTeX XMLCite \textit{C. F. Doran} et al., Math. Z. 294, No. 1--2, 783--815 (2020; Zbl 1436.14074) Full Text: DOI arXiv
Doran, Charles F.; Malmendier, Andreas Calabi-Yau manifolds realizing symplectically rigid monodromy tuples. (English) Zbl 1478.14025 Adv. Theor. Math. Phys. 23, No. 5, 1271-1359 (2019). Reviewer: Alessandro Ruzzi (Montreuil) MSC: 14D07 14J32 32G20 14J33 PDFBibTeX XMLCite \textit{C. F. Doran} and \textit{A. Malmendier}, Adv. Theor. Math. Phys. 23, No. 5, 1271--1359 (2019; Zbl 1478.14025) Full Text: DOI arXiv
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula Alternate mirror families and hypergeometric motives. (English) Zbl 1448.14021 Wood, David R. (ed.) et al., 2017 MATRIX annals. Cham: Springer. MATRIX Book Ser. 2, 441-448 (2019). MSC: 14G10 14J32 11G25 14G15 14J33 PDFBibTeX XMLCite \textit{C. F. Doran} et al., MATRIX Book Ser. 2, 441--448 (2019; Zbl 1448.14021) Full Text: DOI
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula Zeta functions of alternate mirror Calabi-Yau families. (English) Zbl 1403.14055 Isr. J. Math. 228, No. 2, 665-705 (2018). Reviewer: Noriko Yui (Kingston) MSC: 14G10 11G42 14J32 32Q25 PDFBibTeX XMLCite \textit{C. F. Doran} et al., Isr. J. Math. 228, No. 2, 665--705 (2018; Zbl 1403.14055) Full Text: DOI arXiv
Doran, Charles F.; Thompson, Alan Mirror symmetry for lattice polarized del Pezzo surfaces. (English) Zbl 1423.14240 Commun. Number Theory Phys. 12, No. 3, 543-580 (2018). MSC: 14J33 53D37 14J27 14J28 14J15 PDFBibTeX XMLCite \textit{C. F. Doran} and \textit{A. Thompson}, Commun. Number Theory Phys. 12, No. 3, 543--580 (2018; Zbl 1423.14240) Full Text: DOI arXiv
Doran, Charles F.; Favero, David; Kelly, Tyler L. Equivalences of families of stacky toric Calabi-Yau hypersurfaces. (English) Zbl 1431.14040 Proc. Am. Math. Soc. 146, No. 11, 4633-4647 (2018). Reviewer: Thomas Prince (Oxford) MSC: 14M25 14C22 14J33 14J32 14J28 PDFBibTeX XMLCite \textit{C. F. Doran} et al., Proc. Am. Math. Soc. 146, No. 11, 4633--4647 (2018; Zbl 1431.14040) Full Text: DOI arXiv
Doran, Charles F.; Harder, Andrew; Thompson, Alan Mirror symmetry, Tyurin degenerations and fibrations on Calabi-Yau manifolds. (English) Zbl 1397.14050 Li, Si (ed.) et al., String-Math 2015. Proceedings of the conference, Tsinghua Sanya International Mathematics Forum in Sanya, China, December 31, 2015 – January 4, 2016. Providence, RI: American Mathematical Society (AMS); Boston, MA: International Press (ISBN 978-1-4704-2951-5/hbk; 978-1-4704-4276-7/ebook). Proceedings of Symposia in Pure Mathematics 96, 93-131 (2017). MSC: 14J33 14J32 14J30 14J28 14D06 PDFBibTeX XMLCite \textit{C. F. Doran} et al., Proc. Symp. Pure Math. 96, 93--131 (2017; Zbl 1397.14050) Full Text: arXiv
Doran, Charles F.; Harder, Andrew; Thompson, Alan Hodge numbers from Picard-Fuchs equations. (English) Zbl 1366.14014 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 045, 23 p. (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D07 14D05 14J32 PDFBibTeX XMLCite \textit{C. F. Doran} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 045, 23 p. (2017; Zbl 1366.14014) Full Text: DOI arXiv
Bouchard, Vincent; Creutzig, Thomas; Diaconescu, Duiliu-Emanuel; Doran, Charles; Quigley, Callum; Sheshmani, Artan Vertical D4-D2-D0 bound states on \(K3\) fibrations and modularity. (English) Zbl 1453.14101 Commun. Math. Phys. 350, No. 3, 1069-1121 (2017). MSC: 14J32 14J28 14N35 81R10 81T30 PDFBibTeX XMLCite \textit{V. Bouchard} et al., Commun. Math. Phys. 350, No. 3, 1069--1121 (2017; Zbl 1453.14101) Full Text: DOI arXiv
Clingher, Adrian; Doran, Charles F.; Lewis, Jacob; Novoseltsev, Andrey Y.; Thompson, Alan The 14th case VHS via \(K3\) fibrations. (English) Zbl 1360.14104 Kerr, Matt (ed.) et al., Recent advances in Hodge theory. Period domains, algebraic cycles, and arithmetic. Proceedings of the summer school and conference, University of British Columbia, Vancouver, Canada, June 10–20, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-54629-5/pbk; 978-1-316-38788-7/ebook). London Mathematical Society Lecture Note Series 427, 165-227 (2016). MSC: 14J32 14J10 14D06 14J28 PDFBibTeX XMLCite \textit{A. Clingher} et al., Lond. Math. Soc. Lect. Note Ser. 427, 165--227 (2016; Zbl 1360.14104) Full Text: arXiv
Doran, Charles F.; Harder, Andrew; Novoseltsev, Andrey Y.; Thompson, Alan Calabi-Yau threefolds fibred by Kummer surfaces associated to products of elliptic curves. (English) Zbl 1401.14052 Bouchard, Vincent (ed.) et al., String-Math 2014. Proceedings of the conference and satellite workshops, University of Alberta, Edmonton, Alberta, Canada, June 9–13, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1992-9/hbk; 978-1-4704-3015-3/ebook). Proceedings of Symposia in Pure Mathematics 93, 263-287 (2016). Reviewer: Matthias Schütt (Hannover) MSC: 14D06 14J28 14J30 14J32 PDFBibTeX XMLCite \textit{C. F. Doran} et al., Proc. Symp. Pure Math. 93, 263--287 (2016; Zbl 1401.14052) Full Text: arXiv
Doran, Charles F.; Harder, Andrew; Movasati, Hossein; Whitcher, Ursula Humbert surfaces and the moduli of lattice polarized \(K3\) surfaces. (English) Zbl 1415.14014 Bouchard, Vincent (ed.) et al., String-Math 2014. Proceedings of the conference and satellite workshops, University of Alberta, Edmonton, Alberta, Canada, June 9–13, 2014. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 93, 109-140 (2016). MSC: 14J28 14J32 14J10 14H52 14J15 14G35 PDFBibTeX XMLCite \textit{C. F. Doran} et al., Proc. Symp. Pure Math. 93, 109--140 (2016; Zbl 1415.14014)
Doran, Charles F.; Harder, Andrew Toric degenerations and Laurent polynomials related to Givental’s Landau-Ginzburg models. (English) Zbl 1354.14076 Can. J. Math. 68, No. 4, 784-815 (2016). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14M25 14J32 14J33 14J45 PDFBibTeX XMLCite \textit{C. F. Doran} and \textit{A. Harder}, Can. J. Math. 68, No. 4, 784--815 (2016; Zbl 1354.14076) Full Text: DOI arXiv
Doran, C. F.; Harder, A.; Novoseltsev, A. Y.; Thompson, A. Calabi-Yau threefolds fibred by mirror quartic \(K3\) surfaces. (English) Zbl 1339.14024 Adv. Math. 298, 369-392 (2016). Reviewer: Noriko Yui (Kingston) MSC: 14J32 14J28 14J30 14D06 PDFBibTeX XMLCite \textit{C. F. Doran} et al., Adv. Math. 298, 369--392 (2016; Zbl 1339.14024) Full Text: DOI arXiv
Doran, Charles F.; Harder, Andrew; Novoseltsev, Andrey Y.; Thompson, Alan Families of lattice polarized \(K3\) surfaces with monodromy. (English) Zbl 1336.14027 Int. Math. Res. Not. 2015, No. 23, 12265-12318 (2015). Reviewer: Matthias Schütt (Hannover) MSC: 14J28 14J32 14J33 14J50 14J10 PDFBibTeX XMLCite \textit{C. F. Doran} et al., Int. Math. Res. Not. 2015, No. 23, 12265--12318 (2015; Zbl 1336.14027) Full Text: DOI arXiv
Davis, Ryan; Doran, Charles; Gewiss, Adam; Novoseltsev, Andrey; Skjorshammer, Dmitri; Syryczuk, Alexa; Whitcher, Ursula Short tops and semistable degenerations. (English) Zbl 1326.14086 Exp. Math. 23, No. 4, 351-362 (2014). MSC: 14J28 14J32 52B20 PDFBibTeX XMLCite \textit{R. Davis} et al., Exp. Math. 23, No. 4, 351--362 (2014; Zbl 1326.14086) Full Text: DOI arXiv
Doran, Charles F.; Gannon, Terry; Movasati, Hossein; Shokri, Khosro M. Automorphic forms for triangle groups. (English) Zbl 1295.11050 Commun. Number Theory Phys. 7, No. 4, 689-737 (2013). MSC: 11F55 14J32 PDFBibTeX XMLCite \textit{C. F. Doran} et al., Commun. Number Theory Phys. 7, No. 4, 689--737 (2013; Zbl 1295.11050) Full Text: DOI arXiv
Doran, Charles F.; Whitcher, Ursula A. From polygons to string theory. (English) Zbl 1274.52020 Math. Mag. 85, No. 5, 343-360 (2012). MSC: 52B15 52B20 81T30 PDFBibTeX XMLCite \textit{C. F. Doran} and \textit{U. A. Whitcher}, Math. Mag. 85, No. 5, 343--360 (2012; Zbl 1274.52020) Full Text: DOI
Doran, Charles F.; Garavuso, Richard S. Hori-Vafa mirror periods, Picard-Fuchs equations, and Berglund-Hübsch-Krawitz duality. (English) Zbl 1303.81160 J. High Energy Phys. 2011, No. 10, Paper No. 128, 21 p. (2011). MSC: 81T30 81T40 81T10 14J33 14J32 PDFBibTeX XMLCite \textit{C. F. Doran} and \textit{R. S. Garavuso}, J. High Energy Phys. 2011, No. 10, Paper No. 128, 21 p. (2011; Zbl 1303.81160) Full Text: DOI arXiv
Doran, Charles F. Yau’s work on moduli, periods, and mirror maps for Calabi-Yau manifolds. (English) Zbl 1254.14048 Ji, Lizhen (ed.), Geometry and analysis, No. 1. Collected papers of the conference “Geometric analysis: Present and future” on the occasion of Shing-Tung Yau’s 60th birthday, Harvard University, Cambridge, MA, USA, August 27–September 1, 2008. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-224-4/pbk). Advanced Lectures in Mathematics (ALM) 17, 93-102 (2011). MSC: 14J32 14-03 01A70 01A60 PDFBibTeX XMLCite \textit{C. F. Doran}, Adv. Lect. Math. (ALM) 17, 93--102 (2011; Zbl 1254.14048)
Doran, Charles F.; Kerr, Matt Algebraic \(K\)-theory of toric hypersurfaces. (English) Zbl 1274.19003 Commun. Number Theory Phys. 5, No. 2, 397-600 (2011). MSC: 19E15 14J33 14M25 11G42 14C30 14J32 14D21 19E08 PDFBibTeX XMLCite \textit{C. F. Doran} and \textit{M. Kerr}, Commun. Number Theory Phys. 5, No. 2, 397--600 (2011; Zbl 1274.19003) Full Text: DOI arXiv
Clingher, Adrian; Doran, Charles F. Note on a geometric isogeny of \(K3\) surfaces. (English) Zbl 1228.14029 Int. Math. Res. Not. 2011, No. 16, 3657-3687 (2011). Reviewer: Remke Kloosterman (Berlin) MSC: 14J28 14J27 PDFBibTeX XMLCite \textit{A. Clingher} and \textit{C. F. Doran}, Int. Math. Res. Not. 2011, No. 16, 3657--3687 (2011; Zbl 1228.14029) Full Text: DOI arXiv
Doran, Charles F.; Novoseltsev, Andrey Y. Closed form expressions for Hodge numbers of complete intersection Calabi-Yau threefolds in toric varieties. (English) Zbl 1215.14042 Castaño-Bernard, Ricardo (ed.) et al., Mirror symmetry and tropical geometry. Proceedings of the NSF-CBMS conference on tropical geometry and mirror symmetry, Manhattan, KS, USA, December 13–17, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4884-5/pbk). Contemporary Mathematics 527, 1-14 (2010). Reviewer: Noriko Yui (Kingston) MSC: 14J32 PDFBibTeX XMLCite \textit{C. F. Doran} and \textit{A. Y. Novoseltsev}, Contemp. Math. 527, 1--14 (2010; Zbl 1215.14042) Full Text: arXiv
Yui, Noriko (ed.); Verrill, Helena (ed.); Doran, Charles F. (ed.) Modular forms and string duality. Proceedings of a workshop, Banff, Canada, June 3–8, 2006. (English) Zbl 1147.11005 Fields Institute Communications 54. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4484-7/hbk). xvii, 297 p. (2008). MSC: 11-06 14-06 11Fxx 14Gxx 14J32 81-06 PDFBibTeX XMLCite \textit{N. Yui} (ed.) et al., Modular forms and string duality. Proceedings of a workshop, Banff, Canada, June 3--8, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (2008; Zbl 1147.11005)
Doran, Charles; Greene, Brian; Judes, Simon Families of quintic Calabi-Yau \(3-\) folds with discrete symmetries. (English) Zbl 1158.14034 Commun. Math. Phys. 280, No. 3, 675-725 (2008). Reviewer: Jimmy Dillies (Salt Lake City) MSC: 14J32 14J81 PDFBibTeX XMLCite \textit{C. Doran} et al., Commun. Math. Phys. 280, No. 3, 675--725 (2008; Zbl 1158.14034) Full Text: DOI arXiv
Bates, Brandon; Doran, Charles; Schalm, Koenraad Crosscaps in Gepner models and the moduli space of \(T^{2}\) orientifolds. (English) Zbl 1136.81031 Adv. Theor. Math. Phys. 11, No. 5, 839-912 (2007). MSC: 81T30 83E30 58D27 53D30 14J32 PDFBibTeX XMLCite \textit{B. Bates} et al., Adv. Theor. Math. Phys. 11, No. 5, 839--912 (2007; Zbl 1136.81031) Full Text: DOI arXiv Euclid
Clingher, Adrian; Doran, Charles F. Modular invariants for lattice polarized \(K3\) surfaces. (English) Zbl 1132.14035 Mich. Math. J. 55, No. 2, 355-393 (2007). Reviewer: Noriko Yui (Kingston) MSC: 14J28 14J32 PDFBibTeX XMLCite \textit{A. Clingher} and \textit{C. F. Doran}, Mich. Math. J. 55, No. 2, 355--393 (2007; Zbl 1132.14035) Full Text: DOI arXiv
Doran, Charles F.; Hosono, Shinobu On Stokes matrices of Calabi-Yau hypersurfaces. (English) Zbl 1137.81042 Adv. Theor. Math. Phys. 11, No. 1, 147-174 (2007). Reviewer: Christian Pierre (Louvain-la-Neuve) MSC: 32Q25 14J32 32G20 PDFBibTeX XMLCite \textit{C. F. Doran} and \textit{S. Hosono}, Adv. Theor. Math. Phys. 11, No. 1, 147--174 (2007; Zbl 1137.81042) Full Text: DOI arXiv Euclid
Doran, Charles F.; Morgan, John W. Algebraic topology of Calabi-Yau threefolds in toric varieties. (English) Zbl 1137.14028 Geom. Topol. 11, 597-642 (2007). Reviewer: Victor Przyjalkowski (Moskva) MSC: 14J32 32Q25 14M25 PDFBibTeX XMLCite \textit{C. F. Doran} and \textit{J. W. Morgan}, Geom. Topol. 11, 597--642 (2007; Zbl 1137.14028) Full Text: DOI arXiv
Clingher, Adrian; Doran, Charles F. On \(K3\) surfaces with large complex structure. (English) Zbl 1129.14048 Adv. Math. 215, No. 2, 504-539 (2007). Reviewer: Remke Kloosterman (Hannover) MSC: 14J28 14J27 PDFBibTeX XMLCite \textit{A. Clingher} and \textit{C. F. Doran}, Adv. Math. 215, No. 2, 504--539 (2007; Zbl 1129.14048) Full Text: DOI arXiv
Doran, Charles F.; Morgan, John W. Mirror symmetry and integral variations of Hodge structure underlying one-parameter families of Calabi-Yau threefolds. (English) Zbl 1116.14005 Yui, Noriko (ed.) et al., Mirror symmetry V. Proceedings of the BIRS workshop on Calabi-Yau varieties and mirror symmetry, December 6–11, 2003. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 0-8218-4251-X/pbk). AMS/IP Studies in Advanced Mathematics 38, 517-537 (2006). MSC: 14D07 14J32 14M25 19L64 14D05 PDFBibTeX XMLCite \textit{C. F. Doran} and \textit{J. W. Morgan}, AMS/IP Stud. Adv. Math. 38, 517--537 (2006; Zbl 1116.14005) Full Text: arXiv
Doran, Charles F. Algebro-geometric isomonodromic deformations linking Hauptmoduls: variation of the mirror map. (English) Zbl 1047.11043 McKay, John (ed.) et al., Proceedings on Moonshine and related topics. Proceedings of the workshop, Montréal, Canada, May 1999. Dedicated to the memory of Chih-Han Sah. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2879-7/pbk). CRM Proc. Lect. Notes 30, 27-35 (2001). MSC: 11F23 14D05 14J32 34M55 PDFBibTeX XMLCite \textit{C. F. Doran}, CRM Proc. Lect. Notes 30, 27--35 (2001; Zbl 1047.11043)
Doran, Charles F. Picard-Fuchs uniformization and modularity of the mirror map. (English) Zbl 1047.11044 Commun. Math. Phys. 212, No. 3, 625-647 (2000). MSC: 11F23 14D05 14J32 32G20 PDFBibTeX XMLCite \textit{C. F. Doran}, Commun. Math. Phys. 212, No. 3, 625--647 (2000; Zbl 1047.11044) Full Text: DOI
Doran, Charles F. Picard-Fuchs uniformization: Modularity of the mirror map and mirror-moonshine. (English) Zbl 0972.14033 Gordon, B. Brent (ed.) et al., The arithmetic and geometry of algebraic cycles. Proceedings of the CRM summer school, Banff, Alberta, Canada, June 7-19, 1998. Vol. 2. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 24, 257-281 (2000). Reviewer: Noriko Yui (Kingston/Ontario) MSC: 14J32 14D05 14J28 14M30 14J30 PDFBibTeX XMLCite \textit{C. F. Doran}, in: The arithmetic and geometry of algebraic cycles. Proceedings of the CRM summer school, Banff, Alberta, Canada, June 7--19, 1998. Vol. 2. Providence, RI: American Mathematical Society (AMS). 257--281 (2000; Zbl 0972.14033) Full Text: arXiv