Rational maps and K3 surfaces

被引：0

作者：

Karzhemanov, Ilya ^{[1
]}

Konovalov, Grisha ^{[2
]}

机构：

[1] Moscow Inst Phys & Technol, Lab AGHA, 9 Inst Skiy Per, Dolgoprudnyi 141701, Moscow, Russia

[2] HSE Univ, 6 Usacheva Str, Moscow 119048, Russia

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2025年 / 265卷 / 01期

关键词：

THEOREM;

D O I：

10.1007/s11856-024-2656-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a very general complex projective K3 surface S and a smooth projective surface A with trivial canonical class, we prove that there is no dominant rational map A -> S, which is not an isomorphism.

引用

页码：301 / 310

页数：10

共 50 条

[21] Singular rational curves on elliptic K3 surfaces
Baltes, Jonas
MATHEMATISCHE NACHRICHTEN, 2023, 296 (07) : 2701 - 2714
[22] Hyperelliptic integrable systems on K3 and rational surfaces
Takasaki, K
PHYSICS LETTERS A, 2001, 283 (3-4) : 201 - 208
[23] K3 carpets on minimal rational surfaces and their smoothings
Bangere, Purnaprajna
Mukherjee, Jayan
Raychaudhury, Debaditya
INTERNATIONAL JOURNAL OF MATHEMATICS, 2021, 32 (06)
[24] Rational equivalence and Lagrangian tori on K3 surfaces
Sheridan, Nick
Smith, Ivan
COMMENTARII MATHEMATICI HELVETICI, 2020, 95 (02) : 301 - 337
[25] Rational double points on supersingular K3 surfaces
Shimada, I
MATHEMATICS OF COMPUTATION, 2004, 73 (248) : 1989 - 2017
[26] The universal Severi variety of rational curves on K3 surfaces
Kemeny, Michael
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2013, 45 : 159 - 174
[27] Monodromy of rational curves on K3 surfaces of low genus
Zhan, Sailun
JOURNAL OF PURE AND APPLIED ALGEBRA, 2022, 226 (08)
[28] Rational curves on lattice-polarised K3 surfaces
Chen, Xi
Gounelas, Frank
Liedtke, Christian
ALGEBRAIC GEOMETRY, 2020, 9 (04): : 443 - 475
[29] Equivariant derived equivalence and rational points on K3 surfaces
Hassett, Brendan
Tschinkel, Yuri
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2023, 17 (02) : 293 - 312
[30] Wahl maps and extensions of canonical curves and K3 surfaces
Ciliberto, Ciro
Dedieu, Thomas
Sernesi, Edoardo
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2020, 761 : 219 - 245

← 1 2 3 4 5 →