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- Gavril Farkas, M. E. Popa
- 2005

In this paper we use the geometry of curves lying on K3 surfaces in order to obtain a number of results about effective divisors on the moduli space of stable curves Mg. We begin by showing two… (More)

We study the enumerative geometry of the moduli space R_g of Prym varieties of dimension g-1 (also known as the space of admissible double covers). Our main result is that the compactification of R_g… (More)

The moduli space of canonical divisors (with prescribed zeros and poles) on nonsingular curves is not compact since the curve may degenerate. We define a proper moduli space of twisted canonical… (More)

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 g<14 every curve in… (More)

We discuss the role of K3 surfaces in the context of Mercat's conjecture in higher rank Brill–Noether theory. Using liftings of Koszul classes, we show that Mercat's conjecture in rank 2 fails for… (More)

We describe the singular locus of the compactification of the moduli space Rg,` of curves of genus g paired with an `-torsion point in their Jacobian. Generalising previous work for ` ≤ 2, we also… (More)

- Gavril Farkas
- 2006

Given a moduli problem with a nice coarse moduli space, which is the most intrinsic and natural divisor on this moduli space? We describe a general method of constructing effective divisors on a… (More)

- Gavril Farkas
- 2008

We discuss topics on the geometry of the moduli space of curves. We present a short proof of the Harris-Mumford theorem on the Kodaira dimension of the moduli space which replaces the computations on… (More)

- Gavril Farkas
- 2007

We perform an intersection theoretic study of the rational map between two different moduli spaces of stable curves which associates to a curve its corresponding Brill-Noether locus (in the case this… (More)

- Pal I. Bauer, Gavril Farkas, +4 authors Anna F. Farago
- Biochemical and biophysical research…
- 1992

Purified type II (beta) and type III (alpha) protein kinase C phosphorylates highly purified polyADP-ribose polymerase in vitro whereby 2 mols of phosphate are transferred from ATP to serine and… (More)