A bound for the degree of smooth surfaces in not of general type
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A new family of surfaces with and
Margarida Mendes Lopes, Rita Pardini (2004)
Annales scientifiques de l'École Normale Supérieure
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.
A remark on the geography of surfaces with birational canonical morphisms.
Tadashi Ashikaga (1991)
Mathematische Annalen
A surface of general type with Pg = q = 0, K2 = 1.
Caryn Werner (1994)
Manuscripta mathematica
Adjunction mappings on numerical quadrics.
Y.S. Poon (1997)
Mathematica Scandinavica
Algebraic surfaces of general type with c21 = 3pg - 6.
Kazuhiro Konno (1991)
Mathematische Annalen
Algebraic surfaces of general type with P9 smaller or equal to 7 and K very ample
Aigli Papantonopoulou (1988)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Algebraic surfaces whose canonical image has a pencil of rational curves of degree two.
Sun Xia Talo (1992)
Mathematische Zeitschrift
Automorphisms of order three on numerical Godeaux surfaces
Eleonora Palmieri (2008)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We prove that a numerical Godeaux surface cannot have an automorphism of order three.
Birational Properties of Moduli spaces of stable locally free rank-2 sheaves on algebraic surfaces.
Zhenbo Qin (1991)
Manuscripta mathematica
Bounding automorphism groups.
Endre Szabó (1996)
Mathematische Annalen
Bounds for the number of moduli for irregular varieties of general type.
Igor Reider (1988)
Manuscripta mathematica
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 , where is a smooth projective variety of dimension , , and 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 , where is a divisor that moves linearly on a smooth projective variety of maximal Albanese dimension. In this way we sharpen the results of [Xi] and we generalize them to dimension . In the -dimensional case we prove an...
Canonical images of surfaces.
Rita Pardini (1991)
Journal für die reine und angewandte Mathematik
Canonical models of surfaces of general type in positive characteristic
Torsten Ekedahl (1988)
Publications Mathématiques de l'IHÉS
Certain algebraic surfaces with non-reduced moduli space.
Konno, K. (2000)
Portugaliae Mathematica
Courbes entières dans les surfaces algébriques complexes
Marco Brunella (2000/2001)
Séminaire Bourbaki
Cyclic coverings of abelian varities and the Goryachev-Chaplygin top.
Luis A. Piovan (1992)
Mathematische Annalen
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