One-dimensional Hurwitz spaces, modular curves, and real forms of Belyi meromorphic functions.
Operads and algebraic geometry.
Osservazioni sullo spazio dei moduli delle curve trigonali
Let be an algebraic projective smooth and trigonal curve of genus . In this paper we define, in a way equivalent to that followed by A. Maroni in [1], an integer , called the species of , which is a birational invariant having the property that and mod(2). In section 1 we prove that for every and every , as before, there are trigonal curves of genus and species . In section 2 we define the space of moduli of trigonal curves of genus and species . We note that is irreducible...
Pencils of quadrics and hyperelliptic curves in characteristic two.
Petri's Approach to the Study of the Ideal Associated to a Special Divisor.
Poincaré bundles for families of curves.
Poincaré Polynomials of the Variety of Stable Bundles.
Points rationnels des courbes génériques de . I
Points rationnels des courbes génériques de . II
Postulation and gonality for projective curves
Projectivité des schémas en courbes sur un anneau de valuation discrète
Quantum Singularity Theory for and -Spin Theory
We give a review of our construction of a cohomological field theory for quasi-homogeneous singularities and the -spin theory of Jarvis-Kimura-Vaintrob. We further prove that for a singularity of type our construction of the stack of -curves is canonically isomorphic to the stack of -spin curves described by Abramovich and Jarvis. We further prove that our theory satisfies all the Jarvis-Kimura-Vaintrob axioms for an -spin virtual class. Therefore, the Faber-Shadrin-Zvonkine proof of the...
Quotient de la variété des points infiniment voisins d’ordre 9 sous l’action de
Rang de courbes elliptiques liees a certaines extensions cycliques de degre 4 et 6
Rank 2 Stable Vector Bundles on IP3 (...) with Chern Classes c1 = -1, c2 = 4.
Rational curves on hypersurfaces
Rational equivalence on some families of plane curves
If denotes the variety of irreducible plane curves of degree with exactly nodes as singularities, Diaz and Harris (1986) have conjectured that is a torsion group. In this note we study rational equivalence on some families of singular plane curves and we prove, in particular, that is a finite group, so that the conjecture holds for . Actually the order of is , the group being cyclic if is odd and the product of and a cyclic group of order if is even.
Rationality of Moduli Spaces of Stable Bundles.
Rationality of the moduli variety of curves of genus 3.
Real algebraic curves