Complete intersections in a product of projective spaces
Báo cáo viên: Marc Chardin ( (Sorbonne Université, France)

Thời gian: 9h, Thứ 4, ngày 19 tháng 2 năm 2020

Địa điểm: Phòng 611-612, Tầng 6, Nhà A6, Viện Toán học

Tóm tắt: One could define a complete intersection in some irreducible scheme X as a subscheme defined by as many equations as its codimension. Whenever X is a projective space, this corresponds to subschemes defined by homogeneous complete intersection ideals; as a consequence many homological invariants are entirely determined by the degrees of these equations. In a product of projective spaces, the situation is quite different. We will illustrate this on two examples: a hypersurface and the study of complete intersection sets of points in a product of two projective spaces. This is based on ongoing joint work with Navid Nemati

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