Gorenstein Formats, Canonical and Calabi-Yau Threefolds

被引：7

作者：

Brown, Gavin ^{[1
]}

Kasprzyk, Alexander M. ^{[2
]}

Zhu, Lei ^{[3
]}

机构：

[1] Univ Warwick, Math Inst, Coventry, W Midlands, England

[2] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

[3] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China

来源：

EXPERIMENTAL MATHEMATICS | 2019年

基金：

英国工程与自然科学研究理事会;

关键词：

Gorenstein format; key variety; threefold; general type; Calabi-Yau; Fano; canonical orbifold; CONSTRUCTING PROJECTIVE VARIETIES; FANO; 3-FOLDS; MODULI SPACE; GENERAL TYPE; SURFACES; P(G)=4; K-2=8; TOM;

D O I：

10.1080/10586458.2019.1592036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Gorenstein formats present the equations of regular canonical, Calabi-Yau and Fano varieties embedded by subcanonical divisors. We present a new algorithm for the enumeration of these formats based on orbifold Riemann-Roch and knapsack packing-type algorithms. We apply this to extend the known lists of threefolds of general type beyond the well-known classes of complete intersections and also to find classes of Calabi-Yau threefolds with canonical singularities.

引用

页码：146 / 164

页数：19

共 50 条

[1]

Altnok S., 2005, TURKISH J MATH, V29, P175

[2]

Altnok S., 2002, CONT MATH, V314, P25

[3]

[Anonymous], 1978, I. J. the Mathematical Society of Japan, DOI 10.2969/jmsj/03020179

[4]

[Anonymous], 1988, J. Am. Math. Soc.

[5] ALGEBRAIC-SURFACES OF GENERAL TYPE WITH C1(2)=3PG-7 [J].

ASHIKAGA, T ;

KONNO, K .

TOHOKU MATHEMATICAL JOURNAL, 1990, 42 (04) :517-536

[6]

Bauer IC, 2001, MEM AM MATH SOC, V152, P1

[7] The moduli space of surfaces with K2=6 and pg=4 [J].

Bauer, Ingrid C. ;

Catanese, Fabrizio ;

Pignatelli, Roberto .

MATHEMATISCHE ANNALEN, 2006, 336 (02) :421-438

[8]

Bauer IC, 2009, OSAKA J MATH, V46, P799

[9] Examples of Calabi-Yau 3-Folds of P7 with ρ=1 [J].

Bertin, Marie-Amelie .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2009, 61 (05) :1050-1072

[10] EXISTENCE OF MINIMAL MODELS FOR VARIETIES OF LOG GENERAL TYPE [J].

Birkar, Caucher ;

Cascini, Paolo ;

Hacon, Christopher D. ;

McKernan, James .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 23 (02) :405-468

← 1 2 3 4 5 →