On the smoothings of non-normal isolated surface singularities

Smoothings of Schemes with Non-isolated Singularities

In this paper we study the deformation and Q-Gorenstein deformation theory of schemes with non-isolated singularities. We obtain obstruction spaces for the existence of deformations and also for local deformations to exist globally. Finally we obtain explicit criteria in order for a pure and reduced scheme of finite type over a field k to have smoothings and Q-Gorenstein smoothings.

on the effect of linear & non-linear texts on students comprehension and recalling

چکیده ندارد.

On −k for Normal Surface Singularities

In this paper we show the lower bound of the set of non-zero−K for normal surface singularities establishing that this set has no accumulation points from above. We also prove that every accumulation point from below is a rational number and every positive integer is an accumulation point. Every rational number can be an accumulation point modulo Z. We determine all accumulation points in [0, 1...

The Signature of Smoothings of Higher Dimensional Singularities

Smoothings of Fano Schemes with Normal Crossing Singularities of Dimension at Most Three

In this paper we study the deformation theory of a Fano variety X with normal crossing singularities. We obtain a formula for T (X) in a suitable log resolution of X and we obtain explicit criteria for the existence of smoothings of X.