We study flops of Calabi-Yau threefolds realised as Kähler-favourable complete intersections in products projective spaces (CICYs) and identify two different types. The existence the type can be recognised from configuration matrix CICY, which also allows for constructing such examples. first corresponds to rows containing only 1s 0s, while second a single entry 2, followed by 0s. give explicit...

We re-visit the problem of secure multiparty set intersection in information theoretic settings. In [16], Li et.al have proposed a protocol for multiparty set intersection problem with n parties, that provides information theoretic security, when t < n 3 parties are corrupted by an active adversary having unbounded computing power. In [16], the authors claimed that their protocol takes six roun...

This work concerns surjective maps $\varphi\colon R\to S$ of commutative noetherian local rings with kernel generated by a regular sequence that is part minimal generating set for the maximal ideal $R$. The main result provides criteria detecting such exceptional complete intersection in terms lattices thick subcategories derived category complexes finite length homology. A key input characteri...