Unirational moduli spaces of some elliptic K3 surfaces

被引：1
|
作者：
Fortuna, Mauro [1 ]
Hoff, Michael [2 ]
Mezzedimi, Giacomo [1 ,3 ]
机构：
[1] Leibniz Univ Hannover, Inst Algebra Geometrie, Welfengarten 1, D-30167 Hannover, Germany
[2] Univ Saarland, Campus E2 4, D-66123 Saarbrucken, Germany
[3] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany
来源：
MANUSCRIPTA MATHEMATICA | 2024年 / 173卷 / 1-2期
关键词：
WEIERSTRASS FIBRATIONS;
D O I：
10.1007/s00229-022-01455-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the moduli space of U circle plus <-2k >-polarized K3 surfaces is unirational for k <= 50 and k is not an element of{11, 35, 42, 48}, and for other several values of k up to k = 97. Our proof is based on a systematic study of the projective models of elliptic K3 surfaces in P-n for 3 <= n <= 5 containing either the union of two smooth rational curves or the union of a smooth rational curve and an elliptic curve intersecting at one point.
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页码：405 / 423
页数：19
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