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arxiv: 1605.00435 · v5 · submitted 2016-05-02 · 🧮 math.AG

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A young person's guide to mixed Hodge modules

Morihiko Saito
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classification 🧮 math.AG
keywords hodgemixedmodulesyounggiveguideinformalintroduction
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We give a rather informal introduction to the theory of mixed Hodge modules for young mathematicians.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Mixed Hodge Modules and Canonical Perverse Extensions for Multi-Node Conifold Degenerations

    math.AG 2026-04 unverdicted novelty 7.0

    A global mixed Hodge module P^H is built from local rank-one blocks at each node via Saito gluing; it realizes the corrected perverse object and the finite local vanishing sector.

  2. From Finite-Node Conifold Geometry to BPS Structures III: Mediated Triangle Transport and Graded Interaction Data

    math.AG 2026-05 unverdicted novelty 5.0

    Mediated triangle transport yields graded interaction polynomials I_Σ^gr from conifold state data, extending binary support structures for BPS and stability theory.

  3. Cycle Relations and Global Gluing in Multi-Node Conifold Degenerations

    math.AG 2026-04 unverdicted novelty 5.0

    Cycle relations in multi-node conifold degenerations constrain perverse and mixed-Hodge extensions to an incidence-controlled subspace, yielding R_res = R_sm = R_ext = R_blk in block-separated families.