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Giovanni Staglianò's Projects

c42 icon c42

A surface in PP_QQ^5 of degree 9 and sectional genus 2 with 5 nodes

m2 icon m2

The primary source code repository for Macaulay2, a system for computing in commutative algebra, algebraic geometry and related fields.

rationalgushelfourfolds icon rationalgushelfourfolds

Explicit equations and rational parameterizations of some Gushel fourfolds of discriminant 26. This is supplementary material for the paper "Some new rational Gushel fourfolds", see https://arxiv.org/abs/2003.07809.

sage icon sage

Main repository of SageMath. Now open for Issues and Pull Requests.

sff icon sff

Hodge-Special Fano Fourfolds in SageMath

specialquadratictransformations icon specialquadratictransformations

This is the code I used in the paper "Examples of special quadratic birational transformations into complete intersections of quadrics", https://doi.org/10.1016/j.jsc.2015.11.004, to construct some new examples of birational transformations of projective spaces whose base locus scheme is smooth and connected. The most relevant example is that of a Cremona transformation of P^8 not defined along a smooth threefold scroll over a quintic del Pezzo surface. Note that this is an old code, written in 2015 for Macaulay2 version 1.7. Today these examples can be easily obtained using the function specialQuadraticTransformation of the Macaulay2 package Cremona.

trisecantflops icon trisecantflops

A Macaulay2 package for the examples of trisecant flops contained in Table 1 of https://arxiv.org/abs/1909.01263

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