The unmixed closure of a Newton polyhedron
Báo cáo viên: Ngô Việt Trung

Thời gian: 9h30, Thứ 5, ngày 19/09/2019
Địa điểm: Phòng 611- 612, nhà A6, Viện Toán học, 18 Hoàng Quốc Việt.

Tóm tắt: A Newton polyhedron is a positive integral convex polyhedron closed under the translations along the axis. Such a polyhedron corresponds to a monomial ideal. The maximum dimension of the non-compact facets of the Newton polyhedron is a well-known algebraic invariant of the ideal. There is a conjecture saying that this invariant is not less than that of the unmixed part of the ideal. We will show that the Newton polyhedron of the unmixed part of a monomial ideal is the intersection of the positive linear half-spaces supporting the non-compact proper facets of the original Newton polyhedron. This description will be used to settle the conjecture.

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