9 citations · 43 across the 18 of their papers we have counts for
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math.AG2016★ 8 cited
Moduli of cubic surfaces and their anticanonical divisors
Patricio Gallardo, Jesus Martinez-Garcia
We consider the moduli space of log smooth pairs formed by a cubic surface and an anticanonical divisor. We describe all compactifications of this moduli space which are constructe…
math.AG2016★ 2 cited
Stable polarized del Pezzo surfaces
Ivan Cheltsov, Jesus Martinez-Garcia
We give a simple sufficient condition for K-stability of polarized del Pezzo surfaces and for the existence of a constant scalar curvature Kahler metric in the Kahler class corresp…
math.AG2016★ 5 cited
Variations of geometric invariant quotients for pairs, a computational approach
Patricio Gallardo, Jesus Martinez-Garcia
We study the GIT compactifications of pairs formed by a hypersurface and a hyperplane. We provide a general setting to characterize all polarizations which give rise to different G…