Establishes elementary links from blowups of prime Fano threefolds of genus 12, 10 or 9 along disjoint lines to blowups of other Fano threefolds or conic bundles, with converses for g=12 and 10.
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The paper introduces coupled stability thresholds for graded linear series containing ample series, proves their continuous extension over supports, a product formula, and Abban-Zhuang-type estimates, generalizing prior works.
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Elementary links from prime Fano threefolds along two lines
Establishes elementary links from blowups of prime Fano threefolds of genus 12, 10 or 9 along disjoint lines to blowups of other Fano threefolds or conic bundles, with converses for g=12 and 10.
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On the coupled stability thresholds of graded linear series
The paper introduces coupled stability thresholds for graded linear series containing ample series, proves their continuous extension over supports, a product formula, and Abban-Zhuang-type estimates, generalizing prior works.