We prove a formal criterion for generic vanishing, in the sense originated by Green and Lazarsfeld and pursued further by Hacon, but in the context of an arbitrary Fourier-Mukai correspondence. For smooth projective varieties we apply this to deduce a Kodaira-type generic vanishing theorem for adjoint bundles associated to nef line bundles, and in fact a more general generic Nadel-type vanishin...

in this work, an inverse finite element formulation was modified for considering material anisotropy in obtaining blank shape and forming severity of deep drawn orthotropic parts. in this procedure, geometry of final part and thickness of initial blank sheet were known. after applying ideal forming formulations between material points of initial blank and final shape, an equation system was obt...

We analyze the shock formation process for 3D nonisentropic Euler equations with ideal gas law, in which sound waves interact entropy to produce vorticity. Building on our theory isentropic flows [3, 4], we give a constructive proof of from smooth initial data. Specifically, prove that there exist solutions form generic stable explicitly computable blowup time, location, and direction. This is ...

Given a permutation w ∈ Sn, we consider a determinantal ideal Iw whose generators are certain minors in the generic n × n matrix (filled with independent variables). Using ‘multidegrees’ as simple algebraic substitutes for torus-equivariant cohomology classes on vector spaces, our main theorems describe, for each ideal Iw: • variously graded multidegrees and Hilbert series in terms of ordinary ...

Let X be an m × n matrix of indeterminates, m ≤ n, and T a new indeterminate. Consider the polynomial rings R0 = K[X] and R = R0[T ]. For a given positive integer t ≤ m, consider the ideal It = It(X) generated by the t-minors (i. e. the determinants of the t× t submatrices) of X . Using all these determinantal ideals, we define a new ideal J in R = R0[T ], which we call the generic graph constr...