2 citations · 3 across the 4 of their papers we have counts for
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Syzygies of curves and the effective cone of \bar{M}_g
Gavril Farkas
We describe a systematic way of constructing effective divisors on the moduli space of stable curves of genus g having exceptionally small slope. We prove that any divisor on \bar{…
Gaussian maps, Gieseker-Petri loci and large theta-characteristics
Gavril Farkas
We analyze the stratification of the moduli space S_g of spin curves of genus g given by the dimension of the theta-characteristic. Using the relation between gaussian maps and the…
Effective divisors on \bar{M}_g, curves on K3 surfaces and the Slope Conjecture
Gavril Farkas, Mihnea Popa
We carry out a detailed intersection theoretic analysis of the Deligne-Mumford compactification of the divisor on M_{10} consisting of curves sitting on K3 surfaces. This divisor i…
Effective divisors on and a counterexample to the Slope Conjecture
Gavril Farkas, Mihnea Popa
We prove two statements on the slopes of effective divisors on the moduli space of stable curves of genus g: first that the Harris-Morrison Slope Conjecture fails for g=10 and seco…
The Mori cones of moduli spaces of pointed curves of small genus
Gavril Farkas, Angela Gibney
We compute the Mori cone of curves of the moduli space \M_{g,n} of stable n-pointed curves of genus g in the case when g and n are relatively small. For instance, we show that for…
Divisors on and the Minimal Resolution Conjecture for points on canonical curves
Gavril Farkas, Mircea Mustata, Mihnea Popa
We formulate a conjecture on the behavior of the minimal free resolutions of sets of general points on arbitrary varieties embedded by complete linear series, in analogy with the w…