同余格式
Congruence schemes
摘要：
定义了一类新的代数几何对象。这种构造是现有F1-理论的一个巨大推广，因为它一方面包含幺半群理论，另一方面包含经典代数理论，例如Grothendieck方案。它还提供了一个方便的描述Berkovich子域，从而包含了Berkovich的方法抽象骨架。此外，它补充了理论的幺半群计划鉴于数论应用的同余计划编码数论信息，而不是组合数据，这是看到的幺半群计划。
英文摘要：
A new category of algebro-geometric objects is defined. This construction is a vast generalization of existing F1-theories, as it contains the the theory of monoid schemes on the one hand and classical algebraic theory, e.g. Grothendieck schemes, on the the other. It also gives a handy description of Berkovich subdomains and thus contains Berkovich's approach to abstract skeletons. Further it complements the theory of monoid schemes in view of number theoretic applications as congruence schemes encode number theoretical information as opposed to combinatorial data which are seen by monoid schemes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
