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Autor Gallego Rodrigo, Francisco Javier |
Documentos disponibles escritos por este autor (27)
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From the introduction: Let X be an irreducible projective variety and L a very ample lLine bundle on X, whose complete linear series defines 'L : X ! P(H0(L)). Let S = 1 m=0 SmH0(X,L) and let R(L) = L1 n=0 H0(X,L n) be the homogeneous coordinate[...]![]()
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Gallego Rodrigo, Francisco Javier ; Purnaprajna, Bangere P. | American Mathematical Society | 2011-03-07I In this article we study the bicanonical map ?2 of quadruple Galois canonical covers X of surfaces of minimal degree. We show that ?2 has diverse behavior and exhibits most of the complexities that are possible for a bicanonical map of surface[...]![]()
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Gallego Rodrigo, Francisco Javier ; Purnaprajna, Bangere P | American Mathematical Society | 2003-03-19Let S be a regular surface of general type with at worst canonical singularities and with basepoint-free canonical system. Let X be its canonical image. It is well known that X must be a canonical surface or a minimal degree surface. The main re[...]![]()
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El-Moneim, Diaa Abd ; Contreras, Roberto ; Silva-Navas, Javier ; Gallego Rodrigo, Francisco Javier ; Figueiras, Ana M. ; Benito, César | Elsevier | 2014Pectin methylesterases (PME) are involved in plant responses to abiotic stress, including aluminum (Al)tolerance in acid soils. In these lands, soluble Al (Al3+) inhibits root elongation and limits plant growth. Rye (Secale cereale L.) is one o[...]![]()
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In this work we develop new techniques to compute Koszul cohomology groups for several classes of varieties. As applications we prove results on projective normality and syzygies for algebraic surfaces. From more general results we, obtain in pa[...]![]()
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In this article we show that a wide range of multiple structures on curves arise whenever a family of embeddings degenerates to a morphism of degree . One could expect to see, when an embedding degenerates to such a morphism, the appearance of a[...]![]()
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In this article we present a new technique to handle the study of homogeneous rings of a projective variety endowed with a finite or a generically finite morphism to another variety Y whose geometry is easier to handle. Under these circumstances[...]![]()
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The goal of this article is to study the equations and syzygies of embeddings of rational surfaces and certain Fano varieties. Given a rational surface X and an ample and base-point-free line bundle L on X, we give an optimal numerical criterion[...]![]()
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This is a survey article concerning the syzygies of projective smooth varieties, with particular emphasis on the surface case. It describes some special cases of surfaces in which the so-called Mukai conjecture holds (namely, if KX is the canoni[...]![]()
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In this article we study pluriregular varieties X of general type with base-point-free canonical bundle whose canonical morphism has degree 3 and maps X onto a variety of minimal degree Y. We carry out our study from two different perspectives. [...]![]()
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Gallego Rodrigo, Francisco Javier ; Purnaprajna, Bangere P. | Elsevier Science B.V. (North-Holland) | 2000In this article we prove results concerning the vanishing of Koszul cohomology groups on K3 surfaces and n-dimensional Fano varieties of index n - 2. As an application of these vanishings we obtain results on projective normality and syzygies fo[...]![]()
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The authors prove various results concerning multiples of ample, base-point-free linear systems on Calabi-Yau threefolds. Suppose that B is an ample divisor on a Calabi-Yau threefold X, and that |B| has no base-points. Then the authors prove tha[...]