Page 1 Next

Displaying 1 – 20 of 73

Showing per page

A note on a theorem of Horikawa.

Francesco Zucconi (1997)

Revista Matemática de la Universidad Complutense de Madrid

In this paper we classify the algebraic surfaces on C with KS2=4, pg=3 and canonical map of degree d=3. By our result and the previous one of Horikawa (1979) we obtain the complete determination of surfaces with K2=4 and pg=3.

A note on a theorem of Xiao Gang.

Margarita Mendes Lopes (2004)

Collectanea Mathematica

In 1985 Xiao Gang proved that the bicanonical surface of a complex surface S of general type with p2(S) > 2 is not composed of a pencil. In this note a new proof of this theorem is presented.

Brill–Noether loci for divisors on irregular varieties

Margarida Mendes Lopes, Rita Pardini, Pietro Pirola (2014)

Journal of the European Mathematical Society

We take up the study of the Brill-Noether loci W r ( L , X ) : = { η Pic 0 ( X ) | h 0 ( L η ) r + 1 } , where X is a smooth projective variety of dimension > 1 , L Pic ( X ) , and r 0 is an integer. By studying the infinitesimal structure of these loci and the Petri map (defined in analogy with the case of curves), we obtain lower bounds for h 0 ( K D ) , where D is a divisor that moves linearly on a smooth projective variety X of maximal Albanese dimension. In this way we sharpen the results of [Xi] and we generalize them to dimension > 2 . In the 2 -dimensional case we prove an...

Currently displaying 1 – 20 of 73

Page 1 Next