منابع مشابه
Regular components of moduli spaces of stable maps
The purpose of this note is to prove the existence of ‘nice’ components of the Hilbert scheme of curves C ⊆ P × P of genus g and bidegree (k, d). We can also phrase our result using the Kontsevich moduli space of stable maps to P × P. For a smooth projective variety Y and a class β ∈ H2(Y,Z), one considers the moduli space Mg(Y, β) of stable maps f : C → Y , with C a reduced connected nodal cur...
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We introduce and compute the class of a number of effective divisors on the moduli space of stable maps M0,0(P,d), which, for small d, provide a good understanding of the extremal rays and the stable base locus decomposition for the effective cone. We also discuss various birational models that arise in Mori’s program, including the Hilbert scheme, the Chow variety, the space of k-stable maps, ...
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We present a new compactification M(d, n) of the moduli space of self-maps of CP of degree d with n markings. It is constructed via GIT from the stable maps moduli space M0,n(CP 1 ×CP, (1, d)). We show that it is the coarse moduli space of a smooth Deligne-Mumford stack and we compute its rational Picard group.
متن کاملThe Kontsevich Moduli Spaces of Stable Maps
1.1. Preliminaries. We will begin with a detailed study of the Kontsevich moduli spaces of stable maps to P . These spaces can be defined much more generally. However, we will have very little to say about the general situation. We will mostly concentrate on the case of genus zero maps to P . The best introduction to Kont sevich moduli spaces is [FP] where you can find details about the constr...
متن کاملThe Moduli Space of Quadratic Rational Maps
Let M2 be the space of quadratic rational maps f : P 1 → P , modulo the action by conjugation of the group of Möbius transformations. In this paper a compactification X of M2 is defined, as a modification of Milnor’s M 2 ' CP , by choosing representatives of a conjugacy class [f ] ∈ M2 such that the measure of maximal entropy of f has conformal barycenter at the origin in R, and taking the clos...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2007
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-007-0237-x