AbstractWe obtain local equations for the toric Hilbert scheme, which parametrizes all ideals with the same multigraded Hilbert function as a given toric ideal. We also prove a conjecture of Sturmfels' providing a criterion for an ideal to have such a Hilbert function
The Hilbert function of a zero-dimensional ideal in a d-dimensional Cohen-Macaulay local ring is stu...
Following the approach in the book "Commutative Algebra", by D. Eisenbud, where the author describe...
Following the approach in the book "Commutative Algebra", by D. Eisenbud, where the author describe...
AbstractWe obtain local equations for the toric Hilbert scheme, which parametrizes all ideals with t...
We introduce the multigraded Hilbert scheme, which parametrizes all homogeneous ideals with fixed Hi...
AbstractThe toric Hilbert scheme of a lattice L⊆Zn is the multigraded Hilbert scheme parameterizing ...
The multigraded Hilbert scheme parametrizes all homogeneous ideals in a polynomial ring graded by al...
: We prove Sturmfels' conjecture that toric varieties of codimension two have no other flat def...
We give an effective uniform bound on the multigraded regularity of a subscheme of a smooth project...
Let X be a complete n-dimensional simplicial toric variety with homogeneous coordinate ring S . We s...
Let X be a complete n-dimensional simplicial toric variety with homogeneous coordinate ring S . We s...
本文分成兩個部分。第一個部分介紹希爾伯特概形與Hom概形的建構及建構所需的預備定理。第二部分探討一些Hom概形的局部結構：切空間的結構與維度估計，並運用這些結果來證明Mori的扳斷引理及一個有關Fan...
Abstract. The T-graph of a multigraded Hilbert scheme records the zero and one-dimensional orbits of...
The T-graph of a multigraded Hilbert scheme records the zero and one-dimensional orbits of the T = (...
In this PhD thesis we propose an algorithmic approach to the study of the Hilbert scheme. Developing...
The Hilbert function of a zero-dimensional ideal in a d-dimensional Cohen-Macaulay local ring is stu...
Following the approach in the book "Commutative Algebra", by D. Eisenbud, where the author describe...
Following the approach in the book "Commutative Algebra", by D. Eisenbud, where the author describe...
AbstractWe obtain local equations for the toric Hilbert scheme, which parametrizes all ideals with t...
We introduce the multigraded Hilbert scheme, which parametrizes all homogeneous ideals with fixed Hi...
AbstractThe toric Hilbert scheme of a lattice L⊆Zn is the multigraded Hilbert scheme parameterizing ...
The multigraded Hilbert scheme parametrizes all homogeneous ideals in a polynomial ring graded by al...
: We prove Sturmfels' conjecture that toric varieties of codimension two have no other flat def...
We give an effective uniform bound on the multigraded regularity of a subscheme of a smooth project...
Let X be a complete n-dimensional simplicial toric variety with homogeneous coordinate ring S . We s...
Let X be a complete n-dimensional simplicial toric variety with homogeneous coordinate ring S . We s...
本文分成兩個部分。第一個部分介紹希爾伯特概形與Hom概形的建構及建構所需的預備定理。第二部分探討一些Hom概形的局部結構：切空間的結構與維度估計，並運用這些結果來證明Mori的扳斷引理及一個有關Fan...
Abstract. The T-graph of a multigraded Hilbert scheme records the zero and one-dimensional orbits of...
The T-graph of a multigraded Hilbert scheme records the zero and one-dimensional orbits of the T = (...
In this PhD thesis we propose an algorithmic approach to the study of the Hilbert scheme. Developing...
The Hilbert function of a zero-dimensional ideal in a d-dimensional Cohen-Macaulay local ring is stu...
Following the approach in the book "Commutative Algebra", by D. Eisenbud, where the author describe...
Following the approach in the book "Commutative Algebra", by D. Eisenbud, where the author describe...
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