Divisors on the space of maps to Grassmannians

Izzet Coskun; Jason Starr

doi:10.1155/IMRN/2006/35273

Divisors on the space of maps to Grassmannians

Izzet Coskun
, Jason Starr

Mathematics

Stony Brook University

Massachusetts Institute of Technology

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We study the divisor theory of the Kontsevich moduli spaces ℳ̄ 0,0 (G(k,n),d) of genus-zero stable maps to the Grassmannians. We calculate the classes of several geometrically significant divisors. We prove that the cone of effective divisors stabilizes as n increases and we determine the stable effective cone. We also characterize the ample cone.£.

Original language	English
Article number	35273
Journal	International Mathematics Research Notices
Volume	2006
DOIs	https://doi.org/10.1155/IMRN/2006/35273
State	Published - 2006

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title = "Divisors on the space of maps to Grassmannians",

abstract = "We study the divisor theory of the Kontsevich moduli spaces {\=ℳ} 0,0 (G(k,n),d) of genus-zero stable maps to the Grassmannians. We calculate the classes of several geometrically significant divisors. We prove that the cone of effective divisors stabilizes as n increases and we determine the stable effective cone. We also characterize the ample cone.£.",

author = "Izzet Coskun and Jason Starr",

year = "2006",

doi = "10.1155/IMRN/2006/35273",

language = "English",

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AU - Coskun, Izzet

AU - Starr, Jason

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AB - We study the divisor theory of the Kontsevich moduli spaces ℳ̄ 0,0 (G(k,n),d) of genus-zero stable maps to the Grassmannians. We calculate the classes of several geometrically significant divisors. We prove that the cone of effective divisors stabilizes as n increases and we determine the stable effective cone. We also characterize the ample cone.£.

UR - https://www.scopus.com/pages/publications/33751542198

U2 - 10.1155/IMRN/2006/35273

DO - 10.1155/IMRN/2006/35273

M3 - Article

SN - 1073-7928

VL - 2006

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

M1 - 35273

ER -

Divisors on the space of maps to Grassmannians

Abstract

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