Karpenko, Nikita A. Envelopes and classifying spaces. (English) Zbl 1523.20084 Math. Nachr. 296, No. 10, 4769-4777 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20G15 14C25 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Math. Nachr. 296, No. 10, 4769--4777 (2023; Zbl 1523.20084) Full Text: DOI
Karpenko, Nikita A. On generic flag varieties for odd spin groups. (English) Zbl 07720477 Publ. Mat., Barc. 67, No. 2, 743-756 (2023). MSC: 14C25 14M15 20G15 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Publ. Mat., Barc. 67, No. 2, 743--756 (2023; Zbl 07720477) Full Text: DOI
Karpenko, Nikita A.; Merkurjev, Alexander S. Indexes of generic Grassmannians for spin groups. (English) Zbl 07740406 Proc. Lond. Math. Soc. (3) 125, No. 4, 825-840 (2022). MSC: 20G15 14C25 PDFBibTeX XMLCite \textit{N. A. Karpenko} and \textit{A. S. Merkurjev}, Proc. Lond. Math. Soc. (3) 125, No. 4, 825--840 (2022; Zbl 07740406) Full Text: DOI
Karpenko, Nikita A. An ultimate proof of Hoffmann-Totaro’s conjecture. (English) Zbl 1506.11046 J. Eur. Math. Soc. (JEMS) 24, No. 12, 4385-4398 (2022). Reviewer: Adam Chapman (Tel Hai) MSC: 11E04 11E81 14C25 PDFBibTeX XMLCite \textit{N. A. Karpenko}, J. Eur. Math. Soc. (JEMS) 24, No. 12, 4385--4398 (2022; Zbl 1506.11046) Full Text: DOI
Karpenko, Nikita A. On classifying spaces of spin groups. (English) Zbl 1521.14021 Result. Math. 77, No. 4, Paper No. 144, 8 p. (2022). MSC: 14C25 20G15 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Result. Math. 77, No. 4, Paper No. 144, 8 p. (2022; Zbl 1521.14021) Full Text: DOI
Karpenko, Nikita A.; Merkurjev, Alexander S. The Chow ring of the classifying space of the unitary group. (English) Zbl 1482.14007 Algebra Number Theory 16, No. 1, 139-154 (2022). MSC: 14C25 20G15 14C15 PDFBibTeX XMLCite \textit{N. A. Karpenko} and \textit{A. S. Merkurjev}, Algebra Number Theory 16, No. 1, 139--154 (2022; Zbl 1482.14007) Full Text: DOI
Karpenko, Nikita A.; Merkurjev, Alexander S. Equivariant connective \(K\)-theory. (English) Zbl 1490.19010 J. Algebr. Geom. 31, No. 1, 181-204 (2022). MSC: 19L41 14C35 19L47 PDFBibTeX XMLCite \textit{N. A. Karpenko} and \textit{A. S. Merkurjev}, J. Algebr. Geom. 31, No. 1, 181--204 (2022; Zbl 1490.19010) Full Text: DOI
Devyatov, Rostislav A.; Karpenko, Nikita A.; Merkurjev, Alexander S. Maximal indexes of flag varieties for spin groups. (English) Zbl 1472.14052 Forum Math. Sigma 9, Paper No. e34, 12 p. (2021). MSC: 14M15 14C25 20G15 PDFBibTeX XMLCite \textit{R. A. Devyatov} et al., Forum Math. Sigma 9, Paper No. e34, 12 p. (2021; Zbl 1472.14052) Full Text: DOI
Karpenko, Nikita A. Extended Petrov-Semenov’s connections. (English) Zbl 1442.14034 Arch. Math. 115, No. 1, 27-34 (2020). MSC: 14C25 11E04 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Arch. Math. 115, No. 1, 27--34 (2020; Zbl 1442.14034) Full Text: DOI
Karpenko, Nikita A. A counter-example by Yagita. (English) Zbl 1440.20016 Int. J. Math. 31, No. 3, Article ID 2050025, 10 p. (2020). MSC: 20G15 14C25 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Int. J. Math. 31, No. 3, Article ID 2050025, 10 p. (2020; Zbl 1440.20016) Full Text: DOI
Karpenko, Nikita; Mackall, Eoin On the \(K\)-theory coniveau epimorphism for products of Severi-Brauer varieties. With appendices by Eoin Mackall. (English) Zbl 1441.14035 Ann. \(K\)-Theory 4, No. 2, 317-344 (2019). MSC: 14C25 20G15 14C35 PDFBibTeX XMLCite \textit{N. Karpenko} and \textit{E. Mackall}, Ann. \(K\)-Theory 4, No. 2, 317--344 (2019; Zbl 1441.14035) Full Text: DOI
Karpenko, Nikita A.; Merkurjev, Alexander S. Motivic decomposition of compactifications of certain group varieties. (English) Zbl 1430.14011 J. Reine Angew. Math. 745, 41-58 (2018). MSC: 14C15 14C35 14F42 PDFBibTeX XMLCite \textit{N. A. Karpenko} and \textit{A. S. Merkurjev}, J. Reine Angew. Math. 745, 41--58 (2018; Zbl 1430.14011) Full Text: DOI arXiv
Karpenko, Nikita A. On generic flag varieties of \(\mathrm{Spin}(11)\) and \(\mathrm{Spin}(12)\). (English) Zbl 1499.14015 Manuscr. Math. 157, No. 1-2, 13-21 (2018). MSC: 14C25 14C35 20G15 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Manuscr. Math. 157, No. 1--2, 13--21 (2018; Zbl 1499.14015) Full Text: DOI
Karpenko, Nikita A. Around 16-dimensional quadratic forms in \(I^3_q\). (English) Zbl 1361.11023 Math. Z. 285, No. 1-2, 433-444 (2017). Reviewer: Albrecht Pfister (Mainz) MSC: 11E04 20G15 14C25 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Math. Z. 285, No. 1--2, 433--444 (2017; Zbl 1361.11023) Full Text: DOI
Karpenko, Nikita A. Chow ring of generically twisted varieties of complete flags. (English) Zbl 1466.14009 Adv. Math. 306, 789-806 (2017). MSC: 14C25 14L17 20G15 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Adv. Math. 306, 789--806 (2017; Zbl 1466.14009) Full Text: DOI
Karpenko, Nikita A. Incompressible Grassmannians of isotropic subspaces. (Grassmanniennes incompressibles d’espaces isotropes.) (English. French summary) Zbl 1404.14056 Bull. Soc. Math. Fr. 144, No. 4, 763-773 (2016). MSC: 14M15 11R52 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Bull. Soc. Math. Fr. 144, No. 4, 763--773 (2016; Zbl 1404.14056) Full Text: DOI Link Link
Karpenko, Nikita A. Unitary Grassmannians of division algebras. (English) Zbl 1362.14049 Transform. Groups 21, No. 1, 115-127 (2016). Reviewer: Thorsten Heidersdorf (Columbus) MSC: 14L17 14C25 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Transform. Groups 21, No. 1, 115--127 (2016; Zbl 1362.14049) Full Text: DOI
Karpenko, Nikita A. Incompressibility of products of Weil transfers of generalized Severi-Brauer varieties. (English) Zbl 1346.14046 Math. Z. 279, No. 3-4, 767-777 (2015). Reviewer: Timo Keller (Kaiserslautern) MSC: 14F22 20G15 14C25 16K50 14C15 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Math. Z. 279, No. 3--4, 767--777 (2015; Zbl 1346.14046) Full Text: DOI
Karpenko, Nikita A. Incompressibility of generic torsors of norm tori. (English. Russian original) Zbl 1306.14024 J. Math. Sci., New York 199, No. 3, 302-305 (2014) and Zap. Nauchn. Semin. POMI 414, 106-112 (2013). MSC: 14L30 14M25 20G25 20G30 20G40 11G99 52B20 14C15 PDFBibTeX XMLCite \textit{N. A. Karpenko}, J. Math. Sci., New York 199, No. 3, 302--305 (2014; Zbl 1306.14024) Full Text: DOI
Karpenko, Nikita A.; Merkurjev, Alexander S. Hermitian forms over quaternion algebras. (English) Zbl 1329.11028 Compos. Math. 150, No. 12, 2073-2094 (2014). Reviewer: Marcus Zibrowius (München) MSC: 11E39 14C25 14L17 PDFBibTeX XMLCite \textit{N. A. Karpenko} and \textit{A. S. Merkurjev}, Compos. Math. 150, No. 12, 2073--2094 (2014; Zbl 1329.11028) Full Text: DOI
Karpenko, Nikita; Zhykhovich, Maksim Isotropy of unitary involutions. (English) Zbl 1291.14013 Acta Math. 211, No. 2, 227-253 (2013). Reviewer: Piotr Krasoń (Szczecin) MSC: 14C15 16H99 14M15 14C35 PDFBibTeX XMLCite \textit{N. Karpenko} and \textit{M. Zhykhovich}, Acta Math. 211, No. 2, 227--253 (2013; Zbl 1291.14013) Full Text: DOI arXiv
Karpenko, Nikita A. Variations on a theme of rationality of cycles. (English) Zbl 1300.14008 Cent. Eur. J. Math. 11, No. 6, 1056-1067 (2013). Reviewer: Yong Hu (Caen Cedex) MSC: 14C25 11E04 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Cent. Eur. J. Math. 11, No. 6, 1056--1067 (2013; Zbl 1300.14008) Full Text: DOI
Karpenko, Nikita A. Sufficiently generic orthogonal Grassmannians. (English) Zbl 1271.14063 J. Algebra 372, 365-375 (2012). Reviewer: Alan Koch (Decatur) MSC: 14L17 14C25 PDFBibTeX XMLCite \textit{N. A. Karpenko}, J. Algebra 372, 365--375 (2012; Zbl 1271.14063) Full Text: DOI
Karpenko, Nikita A. Unitary Grassmannians. (English) Zbl 1298.14048 J. Pure Appl. Algebra 216, No. 12, 2586-2600 (2012). Reviewer: Vladimir L. Popov (Moskva) MSC: 14L17 14C25 PDFBibTeX XMLCite \textit{N. A. Karpenko}, J. Pure Appl. Algebra 216, No. 12, 2586--2600 (2012; Zbl 1298.14048) Full Text: DOI arXiv
Karpenko, Nikita A. Hyperbolicity of unitary involutions. (English) Zbl 1274.14056 Sci. China, Math. 55, No. 5, 937-945 (2012). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14L17 14C25 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Sci. China, Math. 55, No. 5, 937--945 (2012; Zbl 1274.14056) Full Text: DOI arXiv
Karpenko, Nikita A. Incompressibility of quadratic Weil transfer of generalized Severi-Brauer varieties. (English) Zbl 1244.14032 J. Inst. Math. Jussieu 11, No. 1, 119-131 (2012). Reviewer: Vladimir L. Popov (Moskva) MSC: 14L17 14C25 PDFBibTeX XMLCite \textit{N. A. Karpenko}, J. Inst. Math. Jussieu 11, No. 1, 119--131 (2012; Zbl 1244.14032) Full Text: DOI arXiv
Karpenko, Nikita A. Incompressibility of orthogonal Grassmannians. (English. French summary) Zbl 1245.14048 C. R., Math., Acad. Sci. Paris 349, No. 21-22, 1131-1134 (2011). Reviewer: Dmitri A. Timashev (Moskva) MSC: 14M15 14C15 14G27 14L30 11E57 11E81 PDFBibTeX XMLCite \textit{N. A. Karpenko}, C. R., Math., Acad. Sci. Paris 349, No. 21--22, 1131--1134 (2011; Zbl 1245.14048) Full Text: DOI arXiv
Karpenko, Nikita A. Upper motives of outer algebraic groups. (English) Zbl 1216.14043 Colliot-Thélène, Jean-Louis (ed.) et al., Quadratic forms, linear algebraic groups, and cohomology. Based on the conference to celebrate the 60th birthday of Raman Parimala, Hyderabad, India, December 30, 2008–January 4, 2009. New York, NY: Springer (ISBN 978-1-4419-6210-2/hbk; 978-1-4419-6211-9/ebook). Developments in Mathematics 18, 249-257 (2010). MSC: 14L17 14C25 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Dev. Math. 18, 249--257 (2010; Zbl 1216.14043) Full Text: DOI arXiv
Karpenko, Nikita A. Isotropy of symplectic involutions. (English) Zbl 1211.16014 C. R., Math., Acad. Sci. Paris 348, No. 21-22, 1151-1153 (2010). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16K20 16W10 11E39 12E15 12J10 PDFBibTeX XMLCite \textit{N. A. Karpenko}, C. R., Math., Acad. Sci. Paris 348, No. 21--22, 1151--1153 (2010; Zbl 1211.16014) Full Text: DOI arXiv
Colliot-Thélène, J.-L.; Karpenko, N. A.; Merkur’ev, A. S. Rational surfaces and the canonical dimension of \(\mathrm{PGL}_6\). (English. Russian original) Zbl 1206.14070 St. Petersbg. Math. J. 19, No. 5, 793-804 (2008); translation from Algebra Anal. 19, No. 5, 159-178 (2007). MSC: 14L30 20G15 14J26 14L15 PDFBibTeX XMLCite \textit{J. L. Colliot-Thélène} et al., St. Petersbg. Math. J. 19, No. 5, 793--804 (2008; Zbl 1206.14070); translation from Algebra Anal. 19, No. 5, 159--178 (2007) Full Text: DOI arXiv
Karpenko, Nikita A.; Merkurjev, Alexander S. Essential dimension of finite \(p\)-groups. (English) Zbl 1200.12002 Invent. Math. 172, No. 3, 491-508 (2008). Reviewer: Maneesh Thakur (New Delhi) MSC: 12F10 20G15 16K20 14C35 PDFBibTeX XMLCite \textit{N. A. Karpenko} and \textit{A. S. Merkurjev}, Invent. Math. 172, No. 3, 491--508 (2008; Zbl 1200.12002) Full Text: DOI
Karpenko, Nikita A.; Merkurjev, Alexander S. Canonical \(p\)-dimension of algebraic groups. (English) Zbl 1119.14041 Adv. Math. 205, No. 2, 410-433 (2006). Reviewer: Shripad M. Garge (Bielefeld) MSC: 14L17 11E57 11E72 20G15 14C25 PDFBibTeX XMLCite \textit{N. A. Karpenko} and \textit{A. S. Merkurjev}, Adv. Math. 205, No. 2, 410--433 (2006; Zbl 1119.14041) Full Text: DOI
Karpenko, Nikita A. A bound for canonical dimension of the (semi)spinor groups. (English) Zbl 1100.14038 Duke Math. J. 133, No. 2, 391-404 (2006). Reviewer: Fumio Hazama (Hatoyama) MSC: 14L17 14C25 14M15 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Duke Math. J. 133, No. 2, 391--404 (2006; Zbl 1100.14038) Full Text: DOI Euclid
Karpenko, Nikita A. Holes in \(I^n\). (English) Zbl 1108.11037 Ann. Sci. Éc. Norm. Supér. (4) 37, No. 6, 973-1002 (2004). Reviewer: Albrecht Pfister (Mainz) MSC: 11E81 11E04 14C15 14C25 19E15 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Ann. Sci. Éc. Norm. Supér. (4) 37, No. 6, 973--1002 (2004; Zbl 1108.11037) Full Text: DOI arXiv Numdam EuDML
Karpenko, Nikita A. Characterization of minimal Pfister neighbors via Rost projectors. (English) Zbl 0998.11016 J. Pure Appl. Algebra 160, No. 2-3, 195-227 (2001). Reviewer: Ahmed Laghribi (Lens) MSC: 11E04 11E81 14C25 PDFBibTeX XMLCite \textit{N. A. Karpenko}, J. Pure Appl. Algebra 160, No. 2--3, 195--227 (2001; Zbl 0998.11016) Full Text: DOI
Karpenko, Nikita A. Weil transfer of algebraic cycles. (English) Zbl 1047.14004 Indag. Math., New Ser. 11, No. 1, 73-86 (2000). MSC: 14C25 14C15 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Indag. Math., New Ser. 11, No. 1, 73--86 (2000; Zbl 1047.14004) Full Text: DOI
Karpenko, Nikita A. Three theorems on common splitting fields of central simple algebras. (English) Zbl 0935.16007 Isr. J. Math. 111, 125-141 (1999). Reviewer: P.M.Cohn (London) MSC: 16K20 16K50 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Isr. J. Math. 111, 125--141 (1999; Zbl 0935.16007) Full Text: DOI
Izhboldin, Oleg T.; Karpenko, Nikita A. Isotropy of six-dimensional quadratic forms over function fields of quadrics. (English) Zbl 0914.11016 J. Algebra 209, No. 1, 65-93 (1998). Reviewer: Detlev Hoffmann (Besançon) MSC: 11E04 11E81 11E88 12G05 19E15 PDFBibTeX XMLCite \textit{O. T. Izhboldin} and \textit{N. A. Karpenko}, J. Algebra 209, No. 1, 65--93 (1998; Zbl 0914.11016) Full Text: DOI Link
Karpenko, Nikita A. Torsion in \(\text{CH}^ 2\) of Severi-Brauer varieties and indecomposability of generic algebras. (English) Zbl 0857.14004 Manuscr. Math. 88, No. 1, 109-117 (1995). MSC: 14C25 16K20 19E08 14A22 14C05 14F22 PDFBibTeX XMLCite \textit{N. A. Karpenko}, Manuscr. Math. 88, No. 1, 109--117 (1995; Zbl 0857.14004) Full Text: DOI EuDML