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Results tagged with ag.algebraic-geometry
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user 131044
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
-1
votes
1
answer
187
views
first order deformation of maps and curves preserving dual graph
suppose that $\mu:C \to X$ be pointed stable map and $G$ be the dual graph of $C$.
Fulton and Pandharipande in their paper,FP_notes,define two linear spaces $Def_G(\mu) \subset Def(\mu)$ as first ord …
- 41
1
vote
0
answers
101
views
Base change and family of stable maps
Suppose that family F of stable maps given by maps $f:C \to S,\mu:C \to P^r$ and sections $\rho_i:S \to C$
Suppose that $\Sigma(F)$ be union of all one dimensional components of locus of nodes in fib …
- 41
3
votes
0
answers
148
views
Stable maps with irreducible domain are dense in moduli space of stable maps of genus zero
there is a famous lemma which says:
if $Y$ and $W$ are flat,projective schemes over $S$ and $s \in S$ be a geometric point and $Y_s$ and $W_s$ be fibers over $s$ and
$f:Y_s \to W_s$ be a morphism then …
- 41