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CIPro Package: Complete Intersections in Products of Projective Spaces and Line Bundles

1 Pith paper cite this work. Polarity classification is still indexing.

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abstract

CIPro is a Mathematica package for constructing and analyzing complete intersections in products of projective spaces and line bundles over such varieties. It computes properties of complete intersections, such as Chern classes, Hilbert series, GV invariants and symmetries, as well as properties of line bundles on complete intersections, including their cohomology groups. The package also consolidates a number of data sets available in the literature into a single system, including the lists of complete intersection Calabi-Yau three- and four-folds. This short tutorial introduces the package, provides a brief discussion of some of the mathematical background underlying its computations, and gives a series of examples to illustrate its use. These tools are of utility for many computations in string compactifications, especially for Calabi-Yau geometries appearing in Heterotic and Type II constructions. Many tools apply beyond the Calabi-Yau context, including for example, almost Fano bases in F-theory.

fields

hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

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Exploring Line Bundle Standard Models with Transformers

hep-th · 2026-06-30 · unverdicted · novelty 7.0

A Transformer RL agent is trained to generate valid heterotic line bundle sums on CICYs that satisfy gauge embedding, anomaly cancellation, poly-stability, chirality, and no-exotics constraints.

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  • Exploring Line Bundle Standard Models with Transformers hep-th · 2026-06-30 · unverdicted · none · ref 17 · internal anchor

    A Transformer RL agent is trained to generate valid heterotic line bundle sums on CICYs that satisfy gauge embedding, anomaly cancellation, poly-stability, chirality, and no-exotics constraints.