Lagrangian fibrations on Nikulin-type orbifolds
We classify lagrangian fibrations on Nikulin orbifolds, a well studied class of singular irreducible holomorphic symplectic varieties, and prove they verify the SYZ conjecture.
math.AG↗
arXiv subjects
Giacomo Nanni
Publications and source records attributed to Giacomo Nanni.
The Living Library of Trees: Mapping Knowledge Ecology in the Arnold Arboretum
As biodiversity loss and climate change accelerate, botanical gardens serve as vital infrastructures for research, education, and conservation. This project focuses on the Arnold Arboretum of Harvard University, a 281-acre living museum founded in 1872 in Boston. Drawing on more than a century of curatorial data, the research combines historical analysis with computational methods to visualize the biographies of plants and people. The resulting platform reveals patterns of care and scientific observations, along with the collective dimensions embedded in botanical data. Using techniques from artificial intelligence, geospatial mapping, and information design, the project frames the arboretum as a system of shared agency--an active archive of more-than-human affinities that records the layered memory of curatorial labor, the situated nature of knowledge production, and the potential of design to bridge archival record and future care.
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Monodromy of Nikulin orbifolds
We give a new proof for the maximality of the monodromy group of a Nikulin orbifold, a symplectic orbifold arising as terminalisation of a symplectic quotient of a $K3^{[2]}$-type fourfold.
math.AG↗
Classification of Lagrangian planes in generalised Kummer manifolds
We prove that the class of a line contained in a Lagrangian plane on a dimension $2n$ hyperk\"ahler manifold $X$ of Kummer type has Beauville-Bogomolov-Fujiki square $-\frac{n+1}{2}$ in $H_2(X,\mathbb{Z})\cong (H^2(X,\mathbb{Z}))^\vee$ and order 2 in the discriminant group of $H^2(X,\mathbb{Z}).$ Vice versa, an extremal primitive ray of the Mori cone verifying these conditions is in fact the class of a line in some Lagrangian plane.
math.AG↗