ON THE LOCUS OF GENUS 3 CURVES THAT ADMIT MEROMORPHIC DIFFERENTIALS WITH A ZERO OF ORDER 6 AND A POLE OF ORDER 2

被引：0

作者：

Castorena, Abel ^{[1
]}

Gendron, Quentin ^{[1
,2
]}

机构：

[1] Ctr Ciencias Matemat UNAM, Antigua Car Patzcuaro 8701, Morelia, Michoacan, Mexico

[2] Ctr Invest Matemat, AP 402, Guanjuato 36000, Gto, Mexico

来源：

ANNALES DE L INSTITUT FOURIER | 2022年 / 72卷 / 01期

关键词：

Abelian differentials; Differentials of second kind; Moduli Space of curves; Deligne-Mumford compactification; Picard group; MODULI SPACE; ABELIAN DIFFERENTIALS; KODAIRA DIMENSION; STRATA;

D O I：

10.5802/aif.3472

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main goal of this article is to compute the class of the divisor of (M) over bar3 obtained by taking the closure of the image of Omega M-3(6;-2) by the forgetful map. This is done using Porteous formula and the theory of test curves. For this purpose, we study the locus of meromorphic differentials of the second kind, computing the dimension of the map of these loci to M-g and solving some enumerative problems involving such differentials in low genus. A key tool of the proof is the compactification of strata recently introduced by Bainbridge-Chen-Gendron-Grushevsky-Moller.

引用

页码：261 / 299

页数：40

共 50 条

[31] ON APPROXIMATING STEP RESPONSE OF SECOND ORDER ALL-POLE TRANSFER FUNCTIONS BY STEP-RESPONSE OF SECOND-ORDER TRANSFER FUNCTIONS WITH 2 POLES AND A NEGATIVE REAL ZERO
HARIHARAN, R
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1970, 12 (02) : 361 - +
[32] Nowhere-zero 3-flows in Cayley graphs of order pq2
Zhang, Junyang
Zhang, Zhen
[J]. DISCRETE MATHEMATICS, 2023, 346 (02)
[33] ANTIFERROMAGNETIC ORDER IN YBA2CU3-XCOXO6+Y
MICELI, PF
TARASCON, JM
GREENE, LH
BARBOUX, P
GIROUD, M
NEUMANN, DA
RHYNE, JJ
SCHNEEMEYER, LF
WASZCZAK, JV
[J]. PHYSICAL REVIEW B, 1988, 38 (13): : 9209 - 9212
[34] AN ORDER-DISORDER TRANSFORMATION IN HG3IN2TE6
MAYNELL, CA
SAUNDERS, GA
SEDDON, T
[J]. PHYSICS LETTERS A, 1970, A 31 (06) : 338 - &
[35] Nature of the magnetic order in Ca3Co2O6
Agrestini, S.
Chapon, L. C.
Daoud-Aladine, A.
Schefer, J.
Gukasov, A.
Mazzoli, C.
Lees, M. R.
Petrenko, O. A.
[J]. PHYSICAL REVIEW LETTERS, 2008, 101 (09)
[36] MAGNETIC ORDER IN PRBA2CU3O6+X
LONGMORE, A
NUTLEY, MP
BOOTHROYD, AT
ANDERSEN, NH
CASALTA, H
SCHLEGER, P
CHEN, CK
YONGLE, H
CHRISTENSEN, AN
[J]. PHYSICA C, 1994, 235 : 1581 - 1582
[37] The computation of Belyi pairs of 6-edged dessins d'enfants of genus 3 with automorphism groups of order 12 and 3
Bychkov B.S.
Dremov V.A.
Epifanov E.M.
[J]. Journal of Mathematical Sciences, 2009, 158 (1) : 97 - 105
[38] Slow Magnetic Order-Order Transition in the Spin Chain Antiferromagnet Ca3Co2O6
Agrestini, S.
Fleck, C. L.
Chapon, L. C.
Mazzoli, C.
Bombardi, A.
Lees, M. R.
Petrenko, O. A.
[J]. PHYSICAL REVIEW LETTERS, 2011, 106 (19)
[39] LINEAR INTEGRAL-EQUATIONS OF 3RD GENUS WITH A COEFFICIENT, HAVING ZERO OF ANY ORDER IN GENERALIZED FUNCTION-SPACES
RASLAMBEKOV, SN
[J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1986, (11): : 41 - 44
[40] 2ND-ORDER ACTIVE-R FILTERS WITH ZERO POLE-Q SENSITIVITIES DUE TO GAIN-BANDWIDTH PRODUCTS
ACAR, C
TAN, MA
[J]. INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1983, 11 (04) : 397 - 406

← 1 2 3 4 5 →