Cylinders and symmetry reveal hidden geometry of weighted Fano threefolds

What stirs beneath the weighted velvet of Fano threefolds Fano threefolds are among the most storied objects in algebraic geometry: compact shapes that embody a delicate balance between curvature, symmetry, and latitude for curiosity. When you dress them in weights—giving each coordinate its own scale—you get quasi-smooth weighted hypersurfaces, a realm where geometry fuses with…

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Can Video Tools Give AI the Patience to Reason?

Can Video Tools Give AI the Patience to Reason? Long videos demand more than snapshots; they require memory, attention, and cross‑modal storytelling. A new wave of research is teaching AI how to reason through hours of footage, not just lines of text. The paper Thinking With Videos: Multimodal Tool-Augmented Reinforcement Learning for Long Video Reasoning,…

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Low-Degree Points Quietly Map a Hidden Curve Web

Highlights: A Toric Stage Inspires Interpolation; Most Low-Degree Points Emerge from Ambient Intersections; Singular Curves Go Onstage with Unity; A Plane-Curve Twist Expands Classical Results In the orchestra of algebraic geometry, a curve is a melody and a point of small degree is a note that repeats across a number field, not at will but…

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Muons Take a Winter Turn in the Summer Sky

Seasonal Mystery of Muon Showers When the atmosphere hums with the heat of July, a quiet chorus travels underground: muons raining down from the sky, born in cosmic-ray showers high above. The NOvA Collaboration, working at Fermilab with researchers from around the world, has been watching a peculiar twist in that chorus. The rate at…

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Foundations Enter Pathology, Changing the Data Game

Foundations Enter Pathology, Changing the Data Game Highlights: Big neural networks trained on unlabeled data can unlock delicate pathology tasks with far less labeled data. When you look at a whole slide image from a tumor tissue, you’re staring at a billion little pixels that tell a story—one that pathologists have learned to read through…

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When AI Teams Up With Static Code Security.

The face-off: AI versus rule-based scanners In the quiet, meticulous world of software security, two kinds of detectors keep watch over our code: the veteran static analyzers that run on rules, and the newer, flexible minds built from large language models. The former move like seasoned searchlights, scanning for known patterns of danger—SQL injections, hardcoded…

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