Brill–Noether loci in codimension two

Publisher： Cambridge University Press

E-ISSN： 1570-5846|149|9|1535-1568

ISSN： 0010-437x

Source： Compositio Mathematica, Vol.149, Iss.9, 2013-09, pp. : 1535-1568

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

Let us consider the locus in the moduli space of curves of genus $2k$ defined by curves with a pencil of degree $k$ . Since the Brill–Noether number is equal to $- 2$ , such a locus has codimension two. Using the method of test surfaces, we compute the class of its closure in the moduli space of stable curves.

Related content

Brill–Noether Locus of Rank 1 and Degree g− 1 on a Nodal Curve

By Coelho Juliana   Esteves Eduardo  

Communications in Algebra, Vol. 43, Iss. 7, 2015-07 ,pp. : 2748-2762 (15)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Brill–Noether Theory for Non-Special Linear Systems II: Connectedness and Irreducibility

By Coppens M.  

Geometriae Dedicata, Vol. 68, Iss. 2, 1997-11 ,pp. : 169-185 (17)

Springer Publishing Company

Access to resources Recommend Favorite

Homogeneous Submanifolds of Codimension Two

By de Castro H.P.   Noronha M.H.  

Geometriae Dedicata, Vol. 78, Iss. 1, 1999-11 ,pp. : 89-110 (22)

Springer Publishing Company

Access to resources Recommend Favorite

CANCELLING COMPLEX POINTS IN CODIMENSION TWO

By  

Bulletin of the Australian Mathematical Society, Vol. 88, Iss. 1, 2013-08 ,pp. : 64-69 (6)

Cambridge University Press

Access to resources Recommend Favorite

Genuine Rigidity of Euclidean Submanifolds in Codimension Two

By Dajczer Marcos   Florit Luis A.  

Geometriae Dedicata, Vol. 106, Iss. 1, 2004-06 ,pp. : 195-210 (16)

Springer Publishing Company

Access to resources Recommend Favorite