Kishore, Krishna; Vasiu, Adrian; Zhan, Sailun Waring problem for matrices over finite fields. (English) Zbl 07821474 J. Pure Appl. Algebra 228, No. 7, Article ID 107656, 25 p. (2024). MSC: 11P05 11T30 PDFBibTeX XMLCite \textit{K. Kishore} et al., J. Pure Appl. Algebra 228, No. 7, Article ID 107656, 25 p. (2024; Zbl 07821474) Full Text: DOI arXiv
Buium, Alexandru; Vasiu, Adrian The \(\delta\)-invariant theory of Hecke correspondences on \(\mathcal A_g\). arXiv:2208.00286 Preprint, arXiv:2208.00286 [math.NT] (2022). MSC: 11E04 11F06 11F46 11F55 11F60 11F99 11G10 11G15 11G18 14G35 14K02 14K99 14L24 14L30 14L35 14R10 14R20 15A15 15A18 15A24 15A69 15A72 20C20 20G05 BibTeX Cite \textit{A. Buium} and \textit{A. Vasiu}, ``The $\delta$-invariant theory of Hecke correspondences on $\mathcal A_g$'', Preprint, arXiv:2208.00286 [math.NT] (2022) Full Text: arXiv OA License
Gabber, Ofer; Vasiu, Adrian Purity for Barsotti-Tate groups in some mixed characteristic situations. (English) Zbl 1479.14059 Algebr. Geom. 8, No. 4, 490-517 (2021). Reviewer: G. K. Sankaran (Bath) MSC: 14L05 11G10 11G18 14F30 14G35 14K10 14K99 14L15 PDFBibTeX XMLCite \textit{O. Gabber} and \textit{A. Vasiu}, Algebr. Geom. 8, No. 4, 490--517 (2021; Zbl 1479.14059) Full Text: DOI arXiv
Vasiu, Adrian Good reductions of Shimura varieties of Hodge type in arbitrary unramified mixed characteristic. I. (English) Zbl 1522.11059 Math. Nachr. 293, No. 12, 2399-2448 (2020). MSC: 11G10 11G18 14F30 14G35 14G40 PDFBibTeX XMLCite \textit{A. Vasiu}, Math. Nachr. 293, No. 12, 2399--2448 (2020; Zbl 1522.11059) Full Text: DOI arXiv
Li, Jinghao; Vasiu, Adrian Purity of crystalline strata. (English) Zbl 1451.14063 Tunis. J. Math. 1, No. 4, 519-538 (2019). Reviewer: Andrea Marrama (Paris) MSC: 14F30 14L05 11G10 14G35 11G18 14K10 14K99 14L15 PDFBibTeX XMLCite \textit{J. Li} and \textit{A. Vasiu}, Tunis. J. Math. 1, No. 4, 519--538 (2019; Zbl 1451.14063) Full Text: DOI arXiv
Vasiu, Adrian Extension theorems for reductive group schemes. (English) Zbl 1339.14027 Algebra Number Theory 10, No. 1, 89-115 (2016). Reviewer: Xiao Xiao (Utica) MSC: 14L15 11G18 14F30 14G35 14K10 14L17 17B45 PDFBibTeX XMLCite \textit{A. Vasiu}, Algebra Number Theory 10, No. 1, 89--115 (2016; Zbl 1339.14027) Full Text: DOI arXiv
Vasiu, Adrian Integral models in unramified mixed characteristic \((0,2)\) of Hermitian orthogonal Shimura varieties of PEL type. II. (English) Zbl 1305.11056 Math. Nachr. 287, No. 14-15, 1756-1773 (2014). Reviewer: Xin Lu (Mainz) MSC: 11G18 14G35 11G10 11G15 14F30 14K10 14L05 11E57 20G25 PDFBibTeX XMLCite \textit{A. Vasiu}, Math. Nachr. 287, No. 14--15, 1756--1773 (2014; Zbl 1305.11056) Full Text: DOI arXiv
Vasiu, Adrian Generalized Serre-Tate ordinary theory. (English) Zbl 1327.14009 Somerville, MA: International Press (ISBN 978-1-57146-277-0/pbk). vii, 243 p. (2013). Reviewer: Alan Koch (Decatur) (MR3184069) MSC: 14-02 11-02 14F30 14K15 11G10 11G15 14G35 PDFBibTeX XMLCite \textit{A. Vasiu}, Generalized Serre-Tate ordinary theory. Somerville, MA: International Press (2013; Zbl 1327.14009) Full Text: arXiv
Vasiu, Adrian A motivic conjecture of Milne. (English) Zbl 1309.14035 J. Reine Angew. Math. 685, 181-247 (2013). Reviewer: Piotr Achinger (Berkeley) MSC: 14L05 14F30 11G10 11G18 14G35 PDFBibTeX XMLCite \textit{A. Vasiu}, J. Reine Angew. Math. 685, 181--247 (2013; Zbl 1309.14035) Full Text: DOI arXiv
Vasiu, Adrian Integral models in unramified mixed characteristic \((0,2)\) of Hermitian orthogonal Shimura varieties of PEL type. I. (English) Zbl 1357.11062 J. Ramanujan Math. Soc. 27, No. 4, 425-477 (2012). MSC: 11G18 11G10 11G15 14G35 PDFBibTeX XMLCite \textit{A. Vasiu}, J. Ramanujan Math. Soc. 27, No. 4, 425--477 (2012; Zbl 1357.11062) Full Text: arXiv
Vasiu, Adrian; Zink, Thomas Boundedness results for finite flat group schemes over discrete valuation rings of mixed characteristic. (English) Zbl 1283.11091 J. Number Theory 132, No. 9, 2003-2019 (2012). Reviewer: Xiao Xiao (Utica) MSC: 11G10 11G18 11S25 14L15 PDFBibTeX XMLCite \textit{A. Vasiu} and \textit{T. Zink}, J. Number Theory 132, No. 9, 2003--2019 (2012; Zbl 1283.11091) Full Text: DOI arXiv
Vasiu, Adrian On the Tate and Langlands–Rapoport conjectures for special fibres of integral canonical models of Shimura varieties of abelian type. arXiv:1210.6629 Preprint, arXiv:1210.6629 [math.NT] (2012). MSC: 11G10 14G15 11G18 11G35 14F30 14K22 14L05 14L15 BibTeX Cite \textit{A. Vasiu}, ``On the Tate and Langlands--Rapoport conjectures for special fibres of integral canonical models of Shimura varieties of abelian type'', Preprint, arXiv:1210.6629 [math.NT] (2012) Full Text: arXiv OA License
Vasiu, Adrian Manin problems for Shimura varieties of Hodge type. (English) Zbl 1228.11088 J. Ramanujan Math. Soc. 26, No. 1, 31-84 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11G10 11G18 11G35 14G15 14F30 14L05 14K22 20G25 PDFBibTeX XMLCite \textit{A. Vasiu}, J. Ramanujan Math. Soc. 26, No. 1, 31--84 (2011; Zbl 1228.11088) Full Text: arXiv
Nicole, Marc-Hubert; Vasiu, Adrian; Wedhorn, Torsten Purity of level \(m\) stratifications. (Pureté des stratifications par l’échelon.) (English. French summary) Zbl 1223.14052 Ann. Sci. Éc. Norm. Supér. (4) 43, No. 6, 925-955 (2010). Reviewer: G. K. Sankaran (Bath) MSC: 14L05 11G18 11G25 14F30 14G35 14R20 20G25 PDFBibTeX XMLCite \textit{M.-H. Nicole} et al., Ann. Sci. Éc. Norm. Supér. (4) 43, No. 6, 925--955 (2010; Zbl 1223.14052) Full Text: DOI arXiv Link
Vasiu, Adrian; Zink, Thomas Breuil’s classification of \(p\)-divisible groups over regular local rings of arbitrary dimension. (English) Zbl 1210.14049 Nakamura, Iku (ed.) et al., Algebraic and arithmetic structures of moduli spaces. Proceedings of the conference, Sapporo, Japan, September 2007. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-931469-59-4/hbk). Advanced Studies in Pure Mathematics 58, 461-479 (2010). Reviewer: Robert Underwood (Montgomery) MSC: 14L05 11G10 11G18 14F30 14G35 14K10 PDFBibTeX XMLCite \textit{A. Vasiu} and \textit{T. Zink}, Adv. Stud. Pure Math. 58, 461--479 (2010; Zbl 1210.14049) Full Text: arXiv
Vasiu, Adrian; Zink, Thomas Purity results for \(p\)-divisible groups and Abelian schemes over regular bases of mixed characteristic. (English) Zbl 1252.11050 Doc. Math. 15, 571-599 (2010). MSC: 11G10 11G18 14K15 14L05 PDFBibTeX XMLCite \textit{A. Vasiu} and \textit{T. Zink}, Doc. Math. 15, 571--599 (2010; Zbl 1252.11050) Full Text: arXiv EMIS
Vasiu, A. Mod \(p\) classification of Shimura \(F\)-crystals. (English) Zbl 1264.11053 Math. Nachr. 283, No. 8, 1068-1113 (2010). Reviewer: Salman Abdulali (Greenville) MSC: 11G18 14F30 14L30 14G35 PDFBibTeX XMLCite \textit{A. Vasiu}, Math. Nachr. 283, No. 8, 1068--1113 (2010; Zbl 1264.11053) Full Text: DOI arXiv
Vasiu, Adrian Geometry of Shimura varieties of Hodge type over finite fields. (English) Zbl 1182.14018 Kaledin, Dmitry (ed.) et al., Higher-dimensional geometry over finite fields. Proceedings of the NATO Advanced Study Institute held at the University of Göttingen, Göttingen, Germany, June 25–July 6, 2007. Amsterdam: IOS Press (ISBN 978-1-58603-855-7/hbk). NATO Science for Peace and Security Series D: Information and Communication Security 16, 197-243 (2008). MSC: 14G35 11G18 11G25 PDFBibTeX XMLCite \textit{A. Vasiu}, NATO Sci. Peace Secur. Ser. D, Inf. Commun. Secur. 16, 197--243 (2008; Zbl 1182.14018) Full Text: arXiv
Vasiu, Adrian Integral canonical models of unitary Shimura varieties. (English) Zbl 1215.11061 Asian J. Math. 12, No. 2, 151-176 (2008). Reviewer: Junecue Suh (Princeton) MSC: 11G18 14F30 14G35 14K10 11G10 14G40 PDFBibTeX XMLCite \textit{A. Vasiu}, Asian J. Math. 12, No. 2, 151--176 (2008; Zbl 1215.11061) Full Text: DOI arXiv Euclid
Vasiu, Adrian Level \(m\) stratifications of versal deformations of \(p\)-divisible groups. (English) Zbl 1152.14022 J. Algebr. Geom. 17, No. 4, 599-641 (2008). Reviewer: Gerd Faltings (Bonn) MSC: 14G35 14L05 11G18 PDFBibTeX XMLCite \textit{A. Vasiu}, J. Algebr. Geom. 17, No. 4, 599--641 (2008; Zbl 1152.14022) Full Text: DOI arXiv
Vasiu, Adrian Projective integral models of Shimura varieties of Hodge type with compact factors. (English) Zbl 1230.11079 J. Reine Angew. Math. 618, 51-75 (2008). MSC: 11G18 14G35 PDFBibTeX XMLCite \textit{A. Vasiu}, J. Reine Angew. Math. 618, 51--75 (2008; Zbl 1230.11079) Full Text: DOI arXiv
Vasiu, Adrian Some cases of the Mumford-Tate conjecture and Shimura varieties. (English) Zbl 1173.11039 Indiana Univ. Math. J. 57, No. 1, 1-75 (2008). Reviewer: Ulrich Görtz (Essen) MSC: 11G10 11G15 11G18 11R32 14G35 14G40 PDFBibTeX XMLCite \textit{A. Vasiu}, Indiana Univ. Math. J. 57, No. 1, 1--75 (2008; Zbl 1173.11039) Full Text: DOI arXiv
Vasiu, Adrian Three methods to prove the existence of integral canonical models of Shimura varieties of Hodge type. arXiv:0811.2970 Preprint, arXiv:0811.2970 [math.NT] (2008). MSC: 11G10 11G18 14F30 14G35 14G40 14K10 14J10 BibTeX Cite \textit{A. Vasiu}, ``Three methods to prove the existence of integral canonical models of Shimura varieties of Hodge type'', Preprint, arXiv:0811.2970 [math.NT] (2008) Full Text: arXiv OA License
Nicole, Marc-Hubert; Vasiu, Adrian Traverso’s isogeny conjecture for \(p\)-divisible groups. (English) Zbl 1167.14322 Rend. Semin. Mat. Univ. Padova 118, 73-83 (2007). MSC: 14L05 11G10 11G18 PDFBibTeX XMLCite \textit{M.-H. Nicole} and \textit{A. Vasiu}, Rend. Semin. Mat. Univ. Padova 118, 73--83 (2007; Zbl 1167.14322) Full Text: arXiv EuDML
Nicole, Marc-Hubert; Vasiu, Adrian Minimal truncations of supersingular \(p\)-divisible groups. (English) Zbl 1163.11046 Indiana Univ. Math. J. 56, No. 6, 2887-2897 (2007). Reviewer: Ralf Gerkmann (Mainz) MSC: 11G10 11G18 14L05 PDFBibTeX XMLCite \textit{M.-H. Nicole} and \textit{A. Vasiu}, Indiana Univ. Math. J. 56, No. 6, 2887--2897 (2007; Zbl 1163.11046) Full Text: DOI arXiv
Vasiu, Adrian Good Reductions of Shimura Varieties of Hodge Type in Arbitrary Unramified Mixed Characteristic, Part II. arXiv:0712.1572 Preprint, arXiv:0712.1572 [math.NT] (2007). MSC: 11G10 11G18 14F30 14G35 14G40 14K10 14J10 BibTeX Cite \textit{A. Vasiu}, ``Good Reductions of Shimura Varieties of Hodge Type in Arbitrary Unramified Mixed Characteristic, Part II'', Preprint, arXiv:0712.1572 [math.NT] (2007) Full Text: arXiv OA License
Vasiu, Adrian A purity theorem for abelian schemes. (English) Zbl 1069.14049 Mich. Math. J. 52, No. 1, 71-81 (2004). Reviewer: G. K. Sankaran (Bath) MSC: 14K15 11G18 14F30 PDFBibTeX XMLCite \textit{A. Vasiu}, Mich. Math. J. 52, No. 1, 71--81 (2004; Zbl 1069.14049) Full Text: DOI arXiv
Vasiu, Adrian Surjectivity criteria for \(p\)-adic representations. II. (English) Zbl 1127.11077 Manuscr. Math. 114, No. 4, 399-422 (2004). MSC: 11S23 11F80 11G10 PDFBibTeX XMLCite \textit{A. Vasiu}, Manuscr. Math. 114, No. 4, 399--422 (2004; Zbl 1127.11077) Full Text: DOI arXiv
Vasiu, Adrian Surjectivity criteria for \(p\)-adic representations. I. (English) Zbl 1117.11064 Manuscr. Math. 112, No. 3, 325-355 (2003). MSC: 11S23 14L17 PDFBibTeX XMLCite \textit{A. Vasiu}, Manuscr. Math. 112, No. 3, 325--355 (2003; Zbl 1117.11064) Full Text: DOI arXiv
Vasiu, Adrian CM-lifts for Isogeny Classes of Shimura F-crystals over Finite Fields. arXiv:math/0304128 Preprint, arXiv:math/0304128 [math.NT] (2003). MSC: 11G10 14G15 11G18 11G35 14F30 14K22 14L05 14L15 BibTeX Cite \textit{A. Vasiu}, ``CM-lifts for Isogeny Classes of Shimura F-crystals over Finite Fields'', Preprint, arXiv:math/0304128 [math.NT] (2003) Full Text: arXiv OA License
Vasiu, Adrian Good Reductions of Shimura Varieties of Preabelian Type in Arbitrary Unramified Mixed Characteristic, I. arXiv:math/0311042 Preprint, arXiv:math/0311042 [math.NT] (2003). MSC: 11G10 11G18 14F30 14G35 14G40 14K10 14J10 BibTeX Cite \textit{A. Vasiu}, ``Good Reductions of Shimura Varieties of Preabelian Type in Arbitrary Unramified Mixed Characteristic, I'', Preprint, arXiv:math/0311042 [math.NT] (2003) Full Text: arXiv
Vasiu, Adrian Shimura Varieties and the Mumford-Tate conjecture, part I. arXiv:math/0109094 Preprint, arXiv:math/0109094 [math.NT] (2001). MSC: 11G10 11G18 11R32 14G35 14G40 BibTeX Cite \textit{A. Vasiu}, ``Shimura Varieties and the Mumford-Tate conjecture, part I'', Preprint, arXiv:math/0109094 [math.NT] (2001) Full Text: arXiv
Vasiu, Adrian Points of integral canonical models of Shimura varieties of preabelian type, p-divisible groups, and applications. First Part. arXiv:math/0104152 Preprint, arXiv:math/0104152 [math.NT] (2001). MSC: 11G10 11G18 11G25 11G35 14F30 14G35 14K10 BibTeX Cite \textit{A. Vasiu}, ``Points of integral canonical models of Shimura varieties of preabelian type, p-divisible groups, and applications. First Part'', Preprint, arXiv:math/0104152 [math.NT] (2001) Full Text: arXiv
Vasiu, Adrian Integral canonical models of Shimura varieties of preabelian type. (English) Zbl 1002.11052 Asian J. Math. 3, No. 2, 401-517 (1999). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11G18 14G35 PDFBibTeX XMLCite \textit{A. Vasiu}, Asian J. Math. 3, No. 2, 401--517 (1999; Zbl 1002.11052) Full Text: DOI arXiv