Intersection-theoretical computations on \Mgbar

Carel Faber

Intersection-theoretical computations on \Mgbar

extern

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

Abstract

We determine necessary conditions for ample divisors in arbitrary genus as well as for very ample divisors in genus 2 and 3. We also compute the intersection numbers $\lambda^9$ and $\lambda_{g-1}^3$ in genus 4. The latter number is relevant for counting curves of higher genus on manifolds, cf. the recent work of Bershadsky et al.

Original language	English
Title of host publication	Parameter Spaces
Publication status	Published - 1 Jan 1996
Externally published	Yes

Keywords

Mathematics - Algebraic Geometry
14C15 14H10 (Primary) 14H42 (Secondary)

Access to Document

http://adsabs.harvard.edu/abs/1995alg.geom..4005F

Cite this

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title = "Intersection-theoretical computations on \textbackslash{}Mgbar",

abstract = "We determine necessary conditions for ample divisors in arbitrary genus as well as for very ample divisors in genus 2 and 3. We also compute the intersection numbers \$\textbackslash{}lambda\textasciicircum{}9\$ and \$\textbackslash{}lambda\_\{g-1\}\textasciicircum{}3\$ in genus 4. The latter number is relevant for counting curves of higher genus on manifolds, cf. the recent work of Bershadsky et al.",

keywords = "Mathematics - Algebraic Geometry, 14C15 14H10 (Primary) 14H42 (Secondary)",

author = "Carel Faber",

year = "1996",

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TY - CHAP

T1 - Intersection-theoretical computations on \Mgbar

AU - Faber, Carel

PY - 1996/1/1

Y1 - 1996/1/1

N2 - We determine necessary conditions for ample divisors in arbitrary genus as well as for very ample divisors in genus 2 and 3. We also compute the intersection numbers $\lambda^9$ and $\lambda_{g-1}^3$ in genus 4. The latter number is relevant for counting curves of higher genus on manifolds, cf. the recent work of Bershadsky et al.

AB - We determine necessary conditions for ample divisors in arbitrary genus as well as for very ample divisors in genus 2 and 3. We also compute the intersection numbers $\lambda^9$ and $\lambda_{g-1}^3$ in genus 4. The latter number is relevant for counting curves of higher genus on manifolds, cf. the recent work of Bershadsky et al.

KW - Mathematics - Algebraic Geometry

KW - 14C15 14H10 (Primary) 14H42 (Secondary)

M3 - Chapter

BT - Parameter Spaces

ER -

Intersection-theoretical computations on \Mgbar

Abstract

Keywords

Access to Document

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Cite this