What does "ve'Chol asher Lahem" incorporate?
Yerushalmi Sanhedrin, 10a #1 (citing R. B'rachyah in the name of R. Chelbo: It incorporates even their names, which disappeared from all their storehouses and documents and rolled down the hole.
Yerushalmi Sanhedrin, 10a #2 (citing R. Eliezer: It incorporates even a needle that someone had borrowed from them rolled down the hole. 1
See Torah Temimah, note 28.
What are the implications of "Vat'chas aleihem ha'Aretz"?
Ramban and Seforno: Refer to 16:30:1:5 and note 4.
What does the Torah mean when it writes "va'Yovdu mi'Toch ha'Kahal"?
Ramban #1: It means that they disappeared before the eyes of the congregation; one moment they were standing there, the next moment they were gone, leaving no sign of where they had just been standing.
Ramban #2 (citing Ibn Ezra): It means that they perished together with their children, who should have replaced them.
Sanhedrin, 108a: It means that they also lost their portion in the world to come. 1
Yerushalmi Sanhedrin, 10:4: The Torah is comparing them via a Gezeirah Shavah "Vayovdu" "Hayisi ke'Seh Oveid, Bakeish Avdecha!" - in Tehilim, 119:176 - to a lost article that is sought, 2 so too, will the congregation of Korach be sought - and will merit a portion in the world to come. 3
This is the opinion of R. Akiva. See Torah Temimah, who, citing a Pasuk in Shmuel 1, 2:6 poves that Korach will arise at Techi'as ha'Meisim. See also note 29 - that this is the majority opinion. Seer also answer #4.
See Torah Temimah, note 30.
This is difficult to understand seeing as they died without doing Teshuvah and that consequently, neither their death nor their burial atoned for them. Refer to 16:30:151:4.