共查询到20条相似文献,搜索用时 15 毫秒
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Ozhan Genc 《Journal of Pure and Applied Algebra》2018,222(1):213-240
In this paper, we consider the existence problem of rank one and two stable Ulrich bundles on imprimitive Fano 3-folds obtained by blowing-up one of , Q (smooth quadric in ), (smooth cubic in ) or (complete intersection of two quadrics in ) along a smooth irreducible curve. We prove that the only class which admits Ulrich line bundles is the one obtained by blowing up a genus 3, degree 6 curve in . Also, we prove that there exist stable rank two Ulrich bundles with on a generic member of this deformation class. 相似文献
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Gianfranco Casnati Daniele Faenzi Francesco Malaspina 《Journal of Pure and Applied Algebra》2018,222(3):585-609
In the present paper we completely classify locally free sheaves of rank 2 with vanishing intermediate cohomology modules on the image of the Segre embedding and its general hyperplane sections.Such a classification extends similar already known results regarding del Pezzo varieties with Picard numbers 1 and 3 and dimension at least 3. 相似文献
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Qing Han Guofang Wang 《Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire》2018,35(3):675-685
In this paper we prove that any smooth surfaces can be locally isometrically embedded into as Lagrangian surfaces. As a byproduct we obtain that any smooth surfaces are Hessian surfaces. 相似文献
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The purpose of this note is to show a new series of examples of homogeneous ideals I in for which the containment fails. These ideals are supported on certain arrangements of lines in , which resemble Fermat configurations of points in , see [14]. All examples exhibiting the failure of the containment constructed so far have been supported on points or cones over configurations of points. Apart from providing new counterexamples, these ideals seem quite interesting on their own. 相似文献
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Alexey Ananyevskiy 《Journal of Pure and Applied Algebra》2018,222(10):3195-3218
We provide a cohomological interpretation of the zeroth stable -homotopy group of a smooth curve over an infinite perfect field. We show that this group is isomorphic to the first Nisnevich (or Zariski) cohomology group of a certain sheaf closely related to the first Milnor–Witt K-theory sheaf. This cohomology group can be computed using an explicit Gersten-type complex. We show that if the base field is algebraically closed then the zeroth stable -homotopy group of a smooth curve coincides with the zeroth Suslin homology group that was identified by Suslin and Voevodsky with a relative Picard group. As a consequence we reobtain a version of Suslin's rigidity theorem. 相似文献
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Global low-energy weak solution and large-time behavior for the compressible flow of liquid crystals
In this paper, we consider the weak solution of the simplified Ericksen–Leslie system modeling compressible nematic liquid crystal flows in . When the initial data are of small energy and initial density is positive and essentially bounded, we prove the existence of a global weak solution in . The large-time behavior of a global weak solution is also established. 相似文献
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Andrea Luigi Tironi 《Discrete Mathematics》2018,341(11):3152-3158
Let be a hypersurface in with defined over a finite field of elements. In this note, we classify, up to projective equivalence, hypersurfaces as above which reach two elementary upper bounds for the number of -points on which involve a Thas’ invariant. 相似文献