Topics in group schemes and surfaces in positive characteristic

被引：0
作者：
Tziolas N. [1 ]
机构：
[1] Department of Mathematics and Statistics, University of Cyprus, Nicosia
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2024年 / 70卷 / 3期
关键词：
1402; 14F17; 14J10; 14J29; 14J50; 14L15; Algebraic surfaces; Automorphisms; Group schemes; Kodaira vanishing; Pathologies; Positive characteristic;
D O I：
10.1007/s11565-024-00514-8
中图分类号：
学科分类号：
摘要：
This paper is based on a series of talks that the author gave at the University of Edinburgh in March 2023 on surfaces in positive characteristic. In particular, infinitesimal group schemes and their actions on algebraic surfaces are discussed, the structure of the automorphism group scheme of a surface of general type and the failure of the Kodaira vanishing theorem. © The Author(s) 2024.
引用
收藏
页码：891 / 954
页数：63
相关论文
共 75 条
  • [1] Abe E., Hopf Algebras, (1977)
  • [2] Aramova A., Avramov L., Singularities of quotients by vector fields in characteristic p>0, Math. Ann, 273, pp. 629-645, (1986)
  • [3] Artin M., On isolated rational singularities on surfaces, Am. J. Math, 88, 1, pp. 129-136, (1966)
  • [4] Block R., Wilson R., Classification of the restricted simple Lie algebras, J. Algebra, 114, pp. 115-259, (1988)
  • [5] Bombieri E., Canonical models of surfaces of general type, Publ. Math. IHES, 42, pp. 171-219, (1973)
  • [6] Bombieri E., Mumford D., Enriques classification of surfaces in char. p III, Invent. Math, 35, pp. 197-232, (1976)
  • [7] Bombieri E., Mumford D., Enriques Classification of Surfaces in Char.p, II, in Complex Analysis and Algebraic Geometry, pp. 23-42, (1977)
  • [8] Bourbaki N., Algebra II, Chapters 4–7, (1990)
  • [9] Burns D., On rational singularities in dimension >2, Math. Ann, 211, pp. 237-244, (1974)
  • [10] Cartier P., Groupes algébriques et groupes formel, Colloque sur la Théorie des Groupes Algébriques, (1962)
12345678